diff --git a/.gitignore b/.gitignore
index 22cd50050135e..d5159ea3898c6 100644
--- a/.gitignore
+++ b/.gitignore
@@ -3,7 +3,7 @@ bench_ecmult
 bench_internal
 tests
 exhaustive_tests
-gen_ecmult_gen_static_prec_table
+precompute_ecmult_gen
 gen_ecmult_static_pre_g
 valgrind_ctime_test
 *.exe
diff --git a/Makefile.am b/Makefile.am
index 7ea29bc6e3fd5..d47a8a3131ce4 100644
--- a/Makefile.am
+++ b/Makefile.am
@@ -130,16 +130,16 @@ TESTS += exhaustive_tests
 endif
 
 ### Precomputed tables
-EXTRA_PROGRAMS = gen_ecmult_static_pre_g gen_ecmult_gen_static_prec_table
+EXTRA_PROGRAMS = gen_ecmult_static_pre_g precompute_ecmult_gen
 CLEANFILES = $(EXTRA_PROGRAMS)
 
 gen_ecmult_static_pre_g_SOURCES = src/gen_ecmult_static_pre_g.c
 gen_ecmult_static_pre_g_CPPFLAGS = $(SECP_INCLUDES)
 gen_ecmult_static_pre_g_LDADD = $(SECP_LIBS) $(COMMON_LIB)
 
-gen_ecmult_gen_static_prec_table_SOURCES = src/gen_ecmult_gen_static_prec_table.c
-gen_ecmult_gen_static_prec_table_CPPFLAGS = $(SECP_INCLUDES)
-gen_ecmult_gen_static_prec_table_LDADD = $(SECP_LIBS) $(COMMON_LIB)
+precompute_ecmult_gen_SOURCES = src/precompute_ecmult_gen.c
+precompute_ecmult_gen_CPPFLAGS = $(SECP_INCLUDES)
+precompute_ecmult_gen_LDADD = $(SECP_LIBS) $(COMMON_LIB)
 
 # See Automake manual, Section "Errors with distclean".
 # We don't list any dependencies for the prebuilt files here because
@@ -151,8 +151,8 @@ src/ecmult_static_pre_g.h:
 	$(MAKE) $(AM_MAKEFLAGS) gen_ecmult_static_pre_g$(EXEEXT)
 	./gen_ecmult_static_pre_g$(EXEEXT)
 src/ecmult_gen_static_prec_table.h:
-	$(MAKE) $(AM_MAKEFLAGS) gen_ecmult_gen_static_prec_table$(EXEEXT)
-	./gen_ecmult_gen_static_prec_table$(EXEEXT)
+	$(MAKE) $(AM_MAKEFLAGS) precompute_ecmult_gen$(EXEEXT)
+	./precompute_ecmult_gen$(EXEEXT)
 
 PRECOMP = src/ecmult_gen_static_prec_table.h src/ecmult_static_pre_g.h
 noinst_HEADERS += $(PRECOMP)
diff --git a/src/ecmult_gen_static_prec_table.h b/src/ecmult_gen_static_prec_table.h
index bf4e5ea248f31..057976b8c0e66 100644
--- a/src/ecmult_gen_static_prec_table.h
+++ b/src/ecmult_gen_static_prec_table.h
@@ -1,4 +1,4 @@
-/* This file was automatically generated by gen_ecmult_gen_static_prec_table. */
+/* This file was automatically generated by precompute_ecmult_gen. */
 /* See ecmult_gen_impl.h for details about the contents of this file. */
 #ifndef SECP256K1_ECMULT_GEN_STATIC_PREC_TABLE_H
 #define SECP256K1_ECMULT_GEN_STATIC_PREC_TABLE_H
diff --git a/src/gen_ecmult_gen_static_prec_table.c b/src/precompute_ecmult_gen.c
similarity index 96%
rename from src/gen_ecmult_gen_static_prec_table.c
rename to src/precompute_ecmult_gen.c
index 22923df3134b1..5f8d274abbc7b 100644
--- a/src/gen_ecmult_gen_static_prec_table.c
+++ b/src/precompute_ecmult_gen.c
@@ -28,7 +28,7 @@ int main(int argc, char **argv) {
         return -1;
     }
 
-    fprintf(fp, "/* This file was automatically generated by gen_ecmult_gen_static_prec_table. */\n");
+    fprintf(fp, "/* This file was automatically generated by precompute_ecmult_gen. */\n");
     fprintf(fp, "/* See ecmult_gen_impl.h for details about the contents of this file. */\n");
     fprintf(fp, "#ifndef SECP256K1_ECMULT_GEN_STATIC_PREC_TABLE_H\n");
     fprintf(fp, "#define SECP256K1_ECMULT_GEN_STATIC_PREC_TABLE_H\n");