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PQClean Integration #76

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Apr 17, 2019
Merged

PQClean Integration #76

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b40d32c
hashing benchmarks
mkannwischer Apr 11, 2019
13b56a3
some more refactoring
mkannwischer Apr 11, 2019
92f48e6
sample benchmarks
mkannwischer Apr 11, 2019
bd28f38
sample benchmarks
mkannwischer Apr 11, 2019
8192ff7
namespacing for pqclean
mkannwischer Apr 15, 2019
c83bd80
namespacing in testvectors on host
mkannwischer Apr 15, 2019
087b392
Integrate PQClean's AES into pqm4
Ko- Apr 15, 2019
5d8fdc5
Fix path for host sources in Makefile
Ko- Apr 16, 2019
d02dfee
Update mupq
Ko- Apr 16, 2019
ba8ffa5
Fix bug in testvectors AES-128
Ko- Apr 16, 2019
a542cc6
Add optimized AES-192/256 implementations.
Ko- Apr 16, 2019
47bcaea
Update mupq
Ko- Apr 17, 2019
a90c8de
fix incremental keccak implementation
mkannwischer Apr 17, 2019
ac6ff49
Merge branch 'v2' of github.com:mupq/pqm4 into pqclean-integration
mkannwischer Apr 17, 2019
570ba77
added benchmarks for ntruhps2048509 and sphincs-shake256-128f-simple
mkannwischer Apr 17, 2019
db6fea7
make frodo scheme naming consistent with PQClean (breaks testvectors)
mkannwischer Apr 17, 2019
a51c8db
rename frodo in benchmark results
mkannwischer Apr 17, 2019
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19 changes: 10 additions & 9 deletions Makefile
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Original file line number Diff line number Diff line change
Expand Up @@ -30,9 +30,9 @@ LDFLAGS_HOST =
# override as desired
TYPE=kem

COMMONSOURCES=mupq/common/fips202.c mupq/common/sha2.c mupq/common/aes.c mupq/common/rijndael.c
COMMONSOURCES_HOST=$(COMMONSOURCES) mupq/common/keccakf1600.c
COMMONSOURCES_M4=$(COMMONSOURCES) common/keccakf1600.S
COMMONSOURCES=mupq/common/fips202.c mupq/common/sha2.c
COMMONSOURCES_HOST=$(COMMONSOURCES) mupq/common/keccakf1600.c mupq/pqclean/common/aes.c
COMMONSOURCES_M4=$(COMMONSOURCES) common/keccakf1600.S mupq/common/aes.c common/aes.S

COMMONINCLUDES=-I"mupq/common"
COMMONINCLUDES_M4=$(COMMONINCLUDES) -I"common"
Expand All @@ -52,14 +52,15 @@ all:
@echo "Please use the scripts in this directory instead of using the Makefile"
@echo
@echo "If you really want to use it, please specify IMPLEMENTATION_PATH=path/to/impl"
@echo "and a target binary."
@echo "and a target binary, e.g.,"
@echo "make IMPLEMENTATION_PATH=crypto_kem/kyber768/m4 bin/crypto_kem_kyber768_m4_test.bin"
@echo "make clean also works"

$(DEST_HOST)/%_testvectors: $(COMMONSOURCES_HOST) $(IMPLEMENTATION_SOURCES) $(IMPLEMENTATION_HEADERS)
mkdir -p $(DEST_HOST)
$(CC_HOST) -o $@ \
$(CFLAGS_HOST) \
crypto_$(TYPE)/testvectors-host.c \
$(CFLAGS_HOST) -DMUPQ_NAMESPACE=$(MUPQ_NAMESPACE)\
mupq/crypto_$(TYPE)/testvectors-host.c \
$(COMMONSOURCES_HOST) \
$(IMPLEMENTATION_SOURCES) \
-I$(IMPLEMENTATION_PATH) \
Expand All @@ -76,19 +77,19 @@ $(DEST)/%.bin: elf/%.elf
# TODO use notrandombytes more generically rather than included in testvectors.c
elf/$(TARGET_NAME)_%.elf: mupq/crypto_$(TYPE)/%.c $(COMMONSOURCES_M4) $(RANDOMBYTES_M4) $(IMPLEMENTATION_SOURCES) $(IMPLEMENTATION_HEADERS) $(OPENCM3FILE) common/hal-stm32f4.c
mkdir -p elf
$(CC) -o $@ $(CFLAGS) \
$(CC) -o $@ $(CFLAGS) -DMUPQ_NAMESPACE=$(MUPQ_NAMESPACE) \
$< $(COMMONSOURCES_M4) $(RANDOMBYTES_M4) $(IMPLEMENTATION_SOURCES) common/hal-stm32f4.c \
-I$(IMPLEMENTATION_PATH) $(COMMONINCLUDES_M4) $(LDFLAGS)

elf/$(TARGET_NAME)_testvectors.elf: mupq/crypto_$(TYPE)/testvectors.c $(COMMONSOURCES_M4) $(IMPLEMENTATION_SOURCES) $(IMPLEMENTATION_HEADERS) $(OPENCM3FILE) common/hal-stm32f4.c
mkdir -p elf
$(CC) -o $@ $(CFLAGS) \
$(CC) -o $@ $(CFLAGS) -DMUPQ_NAMESPACE=$(MUPQ_NAMESPACE)\
$< $(COMMONSOURCES_M4) $(IMPLEMENTATION_SOURCES) common/hal-stm32f4.c \
-I$(IMPLEMENTATION_PATH) $(COMMONINCLUDES_M4) $(LDFLAGS)

elf/$(TARGET_NAME)_hashing.elf: mupq/crypto_$(TYPE)/hashing.c $(COMMONSOURCES_M4) $(IMPLEMENTATION_SOURCES) $(IMPLEMENTATION_HEADERS) $(OPENCM3FILE) common/hal-stm32f4.c
mkdir -p elf
$(CC) -o $@ $(CFLAGS) -DPROFILE_HASHING \
$(CC) -o $@ $(CFLAGS) -DPROFILE_HASHING -DMUPQ_NAMESPACE=$(MUPQ_NAMESPACE) \
$< $(COMMONSOURCES_M4) $(RANDOMBYTES_M4) $(IMPLEMENTATION_SOURCES) common/hal-stm32f4.c \
-I$(IMPLEMENTATION_PATH) $(COMMONINCLUDES_M4) $(LDFLAGS)

Expand Down
27 changes: 15 additions & 12 deletions benchmarks.csv
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Original file line number Diff line number Diff line change
@@ -1,9 +1,9 @@
Speed Evaluation,,,,,,,,,,
Key Encapsulation Schemes,,,,,,,,,,
Scheme,Implementation,Key Generation [cycles] (mean),Key Generation [cycles] (min),Key Generation [cycles] (max),Encapsulation [cycles] (mean),Encapsulation [cycles] (min),Encapsulation [cycles] (max),Decapsulation [cycles] (mean),Decapsulation [cycles] (min),Decapsulation [cycles] (max)
frodo640-aes (100 executions),m4,220307317,220241077,220386311,223739226,223672948,223818372,218784713,218718418,218863869
frodo640-cshake (100 executions),m4,81905542,81905542,81905542,86239829,86239829,86239829,86385540,86385540,86385540
frodo640-cshake (100 executions),opt,94173002,94173002,94173002,107084620,107084620,107084620,107482437,107482437,107482437
frodokem640aes (100 executions),m4,220307317,220241077,220386311,223739226,223672948,223818372,218784713,218718418,218863869
frodokem640cshake (100 executions),m4,81905542,81905542,81905542,86239829,86239829,86239829,86385540,86385540,86385540
frodokem640cshake (100 executions),opt,94173002,94173002,94173002,107084620,107084620,107084620,107482437,107482437,107482437
kyber1024 (100 executions),m4,1729819,1729068,1730683,2083028,2082278,2083893,2134685,2133934,2135550
kyber1024 (100 executions),ref,1957251,1956503,1958004,2463004,2462257,2463758,2663791,2663043,2664544
kyber512 (100 executions),m4,665609,665182,665980,903352,902925,903723,933528,933102,933900
Expand All @@ -12,6 +12,7 @@ kyber768 (100 executions),m4,1098604,1098197,1099128,1384549,1384141,1385073,141
kyber768 (100 executions),ref,1269336,1268667,1270035,1677026,1676357,1677725,1827734,1827065,1828433
newhope1024cca (100 executions),m4,1220539,1220182,1220822,1902086,1901730,1902370,1925924,1925566,1926207
newhope1024cca (100 executions),ref,1466552,1466131,1466899,2273026,2272605,2273374,2421633,2421212,2421980
ntruhps2048509 (100 executions),clean,111432235,111432235,111432235,2879179,2879179,2879179,7230769,7230769,7230769
ntruhrss701 (100 executions),m4,145962064,145962064,145962064,403677,403677,403677,819323,819323,819323
ntruhrss701 (100 executions),ref,189381286,189381286,189381286,4655513,4655513,4655513,13571758,13571758,13571758
saber (100 executions),m4,894655,894655,894655,1161220,1161220,1161220,1204173,1204173,1204173
Expand All @@ -25,14 +26,14 @@ dilithium (100 executions),ref,2755209,2754546,2756003,15593609,5001347,47568719
qTesla-I (100 executions),ref,16181905,7759886,55665081,6528971,1408282,38101487,1038204,1031357,1066061
qTesla-III-size (100 executions),ref,52911984,22057621,147552103,25535653,3263517,85027845,2268587,2263927,2296947
qTesla-III-speed (100 executions),ref,34440396,19783861,112913102,10958955,3242541,39136486,2197445,2187892,2228424
sphincs-shake256-128s (2 executions),ref,4036930116,4036930116,4036930116,56077640588,56077424990,56077856186,67353629,67137935,67569323
sphincs-shake256-128f-simple (1 executions),clean,65678196,65678196,65678196,2070781593,2070781593,2070781593,83111329,83111329,83111329

Memory Evaluation,,,,,,,,,,
Key Encapsulation Schemes,,,,,,,,,,
Scheme,Implementation,Key Generation [bytes],Encapsulation [bytes],Decapsulation [bytes],,,,,,
frodo640-aes,m4,31240,51568,61944,,,,,,
frodo640-cshake,m4,26304,41504,51880,,,,,,
frodo640-cshake,opt,36560,58272,68640,,,,,,
frodokem640aes,m4,31240,51568,61944,,,,,,
frodokem640cshake,m4,26304,41504,51880,,,,,,
frodokem640cshake,opt,36560,58272,68640,,,,,,
kyber1024,m4,15664,19352,20864,,,,,,
kyber1024,ref,15664,19352,20864,,,,,,
kyber512,m4,6456,9120,9928,,,,,,
Expand All @@ -41,6 +42,7 @@ kyber768,m4,10544,13720,14880,,,,,,
kyber768,ref,10544,13720,14880,,,,,,
newhope1024cca,m4,11152,17448,19680,,,,,,
newhope1024cca,ref,11152,17448,19680,,,,,,
ntruhps2048509,clean,11768,6920,5184,,,,,,
ntruhrss701,m4,23396,19492,22140,,,,,,
ntruhrss701,ref,10032,8956,10204,,,,,,
saber,m4,13248,15528,16624,,,,,,
Expand All @@ -54,14 +56,14 @@ dilithium,ref,50896,86752,54936,,,,,,
qTesla-I,ref,22512,29336,23128,,,,,,
qTesla-III-size,ref,44016,58152,45732,,,,,,
qTesla-III-speed,ref,44024,58144,45712,,,,,,
sphincs-shake256-128s,ref,2936,3064,10800,,,,,,
sphincs-shake256-128f-simple,clean,2200,2304,2664,,,,,,

Hashing Evaluation,,,,,,,,,,
Key Encapsulation Schemes,,,,,,,,,,
Scheme,Implementation,Key Generation [%],Encapsulation [%],Decapsulation [%],,,,,,
frodo640-aes,m4,96.4,95.3,95.2,,,,,,
frodo640-cshake,m4,90.4,88.9,88.7,,,,,,
frodo640-cshake,opt,79.8,71.6,71.3,,,,,,
frodokem640aes,m4,96.4,95.3,95.2,,,,,,
frodokem640cshake,m4,90.4,88.9,88.7,,,,,,
frodokem640cshake,opt,79.8,71.6,71.3,,,,,,
kyber1024,m4,69.3,67.5,58.7,,,,,,
kyber1024,ref,61.3,57.1,47.0,,,,,,
kyber512,m4,68.3,66.2,54.4,,,,,,
Expand All @@ -70,6 +72,7 @@ kyber768,m4,68.9,66.8,56.3,,,,,,
kyber768,ref,59.6,55.2,43.6,,,,,,
newhope1024cca,m4,71.2,70.3,59.5,,,,,,
newhope1024cca,ref,59.3,58.9,47.4,,,,,,
ntruhps2048509,clean,0.0,0.9,1.4,,,,,,
ntruhrss701,m4,0.1,26.5,8.2,,,,,,
ntruhrss701,ref,0.0,2.3,0.5,,,,,,
saber,m4,53.1,52.9,41.5,,,,,,
Expand All @@ -83,4 +86,4 @@ dilithium,ref,61.4,25.4,50.8,,,,,,
qTesla-I,ref,63.5,27.8,32.4,,,,,,
qTesla-III-size,ref,66.2,23.0,27.5,,,,,,
qTesla-III-speed,ref,73.3,24.1,28.3,,,,,,
sphincs-shake256-128s,ref,97.3,97.0,97.2,,,,,,
sphincs-shake256-128f-simple,clean,96.4,96.2,99.1,,,,,,
27 changes: 15 additions & 12 deletions benchmarks.md
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Original file line number Diff line number Diff line change
Expand Up @@ -2,9 +2,9 @@
## Key Encapsulation Schemes
| scheme | implementation | key generation [cycles] | encapsulation [cycles] | decapsulation [cycles] |
| ------ | -------------- | ----------------------- | ---------------------- | ---------------------- |
| frodo640-aes (100 executions) | m4 | AVG: 220,307,317 <br /> MIN: 220,241,077 <br /> MAX: 220,386,311 | AVG: 223,739,226 <br /> MIN: 223,672,948 <br /> MAX: 223,818,372 | AVG: 218,784,713 <br /> MIN: 218,718,418 <br /> MAX: 218,863,869 |
| frodo640-cshake (100 executions) | m4 | AVG: 81,905,542 <br /> MIN: 81,905,542 <br /> MAX: 81,905,542 | AVG: 86,239,829 <br /> MIN: 86,239,829 <br /> MAX: 86,239,829 | AVG: 86,385,540 <br /> MIN: 86,385,540 <br /> MAX: 86,385,540 |
| frodo640-cshake (100 executions) | opt | AVG: 94,173,002 <br /> MIN: 94,173,002 <br /> MAX: 94,173,002 | AVG: 107,084,620 <br /> MIN: 107,084,620 <br /> MAX: 107,084,620 | AVG: 107,482,437 <br /> MIN: 107,482,437 <br /> MAX: 107,482,437 |
| frodokem640aes (100 executions) | m4 | AVG: 220,307,317 <br /> MIN: 220,241,077 <br /> MAX: 220,386,311 | AVG: 223,739,226 <br /> MIN: 223,672,948 <br /> MAX: 223,818,372 | AVG: 218,784,713 <br /> MIN: 218,718,418 <br /> MAX: 218,863,869 |
| frodokem640cshake (100 executions) | m4 | AVG: 81,905,542 <br /> MIN: 81,905,542 <br /> MAX: 81,905,542 | AVG: 86,239,829 <br /> MIN: 86,239,829 <br /> MAX: 86,239,829 | AVG: 86,385,540 <br /> MIN: 86,385,540 <br /> MAX: 86,385,540 |
| frodokem640cshake (100 executions) | opt | AVG: 94,173,002 <br /> MIN: 94,173,002 <br /> MAX: 94,173,002 | AVG: 107,084,620 <br /> MIN: 107,084,620 <br /> MAX: 107,084,620 | AVG: 107,482,437 <br /> MIN: 107,482,437 <br /> MAX: 107,482,437 |
| kyber1024 (100 executions) | m4 | AVG: 1,729,819 <br /> MIN: 1,729,068 <br /> MAX: 1,730,683 | AVG: 2,083,028 <br /> MIN: 2,082,278 <br /> MAX: 2,083,893 | AVG: 2,134,685 <br /> MIN: 2,133,934 <br /> MAX: 2,135,550 |
| kyber1024 (100 executions) | ref | AVG: 1,957,251 <br /> MIN: 1,956,503 <br /> MAX: 1,958,004 | AVG: 2,463,004 <br /> MIN: 2,462,257 <br /> MAX: 2,463,758 | AVG: 2,663,791 <br /> MIN: 2,663,043 <br /> MAX: 2,664,544 |
| kyber512 (100 executions) | m4 | AVG: 665,609 <br /> MIN: 665,182 <br /> MAX: 665,980 | AVG: 903,352 <br /> MIN: 902,925 <br /> MAX: 903,723 | AVG: 933,528 <br /> MIN: 933,102 <br /> MAX: 933,900 |
Expand All @@ -13,6 +13,7 @@
| kyber768 (100 executions) | ref | AVG: 1,269,336 <br /> MIN: 1,268,667 <br /> MAX: 1,270,035 | AVG: 1,677,026 <br /> MIN: 1,676,357 <br /> MAX: 1,677,725 | AVG: 1,827,734 <br /> MIN: 1,827,065 <br /> MAX: 1,828,433 |
| newhope1024cca (100 executions) | m4 | AVG: 1,220,539 <br /> MIN: 1,220,182 <br /> MAX: 1,220,822 | AVG: 1,902,086 <br /> MIN: 1,901,730 <br /> MAX: 1,902,370 | AVG: 1,925,924 <br /> MIN: 1,925,566 <br /> MAX: 1,926,207 |
| newhope1024cca (100 executions) | ref | AVG: 1,466,552 <br /> MIN: 1,466,131 <br /> MAX: 1,466,899 | AVG: 2,273,026 <br /> MIN: 2,272,605 <br /> MAX: 2,273,374 | AVG: 2,421,633 <br /> MIN: 2,421,212 <br /> MAX: 2,421,980 |
| ntruhps2048509 (100 executions) | clean | AVG: 111,432,235 <br /> MIN: 111,432,235 <br /> MAX: 111,432,235 | AVG: 2,879,179 <br /> MIN: 2,879,179 <br /> MAX: 2,879,179 | AVG: 7,230,769 <br /> MIN: 7,230,769 <br /> MAX: 7,230,769 |
| ntruhrss701 (100 executions) | m4 | AVG: 145,962,064 <br /> MIN: 145,962,064 <br /> MAX: 145,962,064 | AVG: 403,677 <br /> MIN: 403,677 <br /> MAX: 403,677 | AVG: 819,323 <br /> MIN: 819,323 <br /> MAX: 819,323 |
| ntruhrss701 (100 executions) | ref | AVG: 189,381,286 <br /> MIN: 189,381,286 <br /> MAX: 189,381,286 | AVG: 4,655,513 <br /> MIN: 4,655,513 <br /> MAX: 4,655,513 | AVG: 13,571,758 <br /> MIN: 13,571,758 <br /> MAX: 13,571,758 |
| saber (100 executions) | m4 | AVG: 894,655 <br /> MIN: 894,655 <br /> MAX: 894,655 | AVG: 1,161,220 <br /> MIN: 1,161,220 <br /> MAX: 1,161,220 | AVG: 1,204,173 <br /> MIN: 1,204,173 <br /> MAX: 1,204,173 |
Expand All @@ -27,15 +28,15 @@
| qTesla-I (100 executions) | ref | AVG: 16,181,905 <br /> MIN: 7,759,886 <br /> MAX: 55,665,081 | AVG: 6,528,971 <br /> MIN: 1,408,282 <br /> MAX: 38,101,487 | AVG: 1,038,204 <br /> MIN: 1,031,357 <br /> MAX: 1,066,061 |
| qTesla-III-size (100 executions) | ref | AVG: 52,911,984 <br /> MIN: 22,057,621 <br /> MAX: 147,552,103 | AVG: 25,535,653 <br /> MIN: 3,263,517 <br /> MAX: 85,027,845 | AVG: 2,268,587 <br /> MIN: 2,263,927 <br /> MAX: 2,296,947 |
| qTesla-III-speed (100 executions) | ref | AVG: 34,440,396 <br /> MIN: 19,783,861 <br /> MAX: 112,913,102 | AVG: 10,958,955 <br /> MIN: 3,242,541 <br /> MAX: 39,136,486 | AVG: 2,197,445 <br /> MIN: 2,187,892 <br /> MAX: 2,228,424 |
| sphincs-shake256-128s (2 executions) | ref | AVG: 4,036,930,116 <br /> MIN: 4,036,930,116 <br /> MAX: 4,036,930,116 | AVG: 56,077,640,588 <br /> MIN: 56,077,424,990 <br /> MAX: 56,077,856,186 | AVG: 67,353,629 <br /> MIN: 67,137,935 <br /> MAX: 67,569,323 |
| sphincs-shake256-128f-simple (1 executions) | clean | AVG: 65,678,196 <br /> MIN: 65,678,196 <br /> MAX: 65,678,196 | AVG: 2,070,781,593 <br /> MIN: 2,070,781,593 <br /> MAX: 2,070,781,593 | AVG: 83,111,329 <br /> MIN: 83,111,329 <br /> MAX: 83,111,329 |

# Memory Evaluation
## Key Encapsulation Schemes
| Scheme | Implementation | Key Generation [bytes] | Encapsulation [bytes] | Decapsulation [bytes] |
| ------ | -------------- | ---------------------- | --------------------- | --------------------- |
| frodo640-aes | m4 | 31,240 | 51,568 | 61,944 |
| frodo640-cshake | m4 | 26,304 | 41,504 | 51,880 |
| frodo640-cshake | opt | 36,560 | 58,272 | 68,640 |
| frodokem640aes | m4 | 31,240 | 51,568 | 61,944 |
| frodokem640cshake | m4 | 26,304 | 41,504 | 51,880 |
| frodokem640cshake | opt | 36,560 | 58,272 | 68,640 |
| kyber1024 | m4 | 15,664 | 19,352 | 20,864 |
| kyber1024 | ref | 15,664 | 19,352 | 20,864 |
| kyber512 | m4 | 6,456 | 9,120 | 9,928 |
Expand All @@ -44,6 +45,7 @@
| kyber768 | ref | 10,544 | 13,720 | 14,880 |
| newhope1024cca | m4 | 11,152 | 17,448 | 19,680 |
| newhope1024cca | ref | 11,152 | 17,448 | 19,680 |
| ntruhps2048509 | clean | 11,768 | 6,920 | 5,184 |
| ntruhrss701 | m4 | 23,396 | 19,492 | 22,140 |
| ntruhrss701 | ref | 10,032 | 8,956 | 10,204 |
| saber | m4 | 13,248 | 15,528 | 16,624 |
Expand All @@ -58,15 +60,15 @@
| qTesla-I | ref | 22,512 | 29,336 | 23,128 |
| qTesla-III-size | ref | 44,016 | 58,152 | 45,732 |
| qTesla-III-speed | ref | 44,024 | 58,144 | 45,712 |
| sphincs-shake256-128s | ref | 2,936 | 3,064 | 10,800 |
| sphincs-shake256-128f-simple | clean | 2,200 | 2,304 | 2,664 |

# Hashing Evaluation
## Key Encapsulation Schemes
| Scheme | Implementation | Key Generation [%] | Encapsulation [%] | Decapsulation [%] |
| ------ | -------------- | ------------------ | ----------------- | ----------------- |
| frodo640-aes | m4 | 96.4% | 95.3% | 95.2% |
| frodo640-cshake | m4 | 90.4% | 88.9% | 88.7% |
| frodo640-cshake | opt | 79.8% | 71.6% | 71.3% |
| frodokem640aes | m4 | 96.4% | 95.3% | 95.2% |
| frodokem640cshake | m4 | 90.4% | 88.9% | 88.7% |
| frodokem640cshake | opt | 79.8% | 71.6% | 71.3% |
| kyber1024 | m4 | 69.3% | 67.5% | 58.7% |
| kyber1024 | ref | 61.3% | 57.1% | 47.0% |
| kyber512 | m4 | 68.3% | 66.2% | 54.4% |
Expand All @@ -75,6 +77,7 @@
| kyber768 | ref | 59.6% | 55.2% | 43.6% |
| newhope1024cca | m4 | 71.2% | 70.3% | 59.5% |
| newhope1024cca | ref | 59.3% | 58.9% | 47.4% |
| ntruhps2048509 | clean | 0.0% | 0.9% | 1.4% |
| ntruhrss701 | m4 | 0.1% | 26.5% | 8.2% |
| ntruhrss701 | ref | 0.0% | 2.3% | 0.5% |
| saber | m4 | 53.1% | 52.9% | 41.5% |
Expand All @@ -89,4 +92,4 @@
| qTesla-I | ref | 63.5% | 27.8% | 32.4% |
| qTesla-III-size | ref | 66.2% | 23.0% | 27.5% |
| qTesla-III-speed | ref | 73.3% | 24.1% | 28.3% |
| sphincs-shake256-128s | ref | 97.3% | 97.0% | 97.2% |
| sphincs-shake256-128f-simple | clean | 96.4% | 96.2% | 99.1% |
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