diff --git a/codec_test.go b/codec_test.go
index 244afd0..e6b1f49 100644
--- a/codec_test.go
+++ b/codec_test.go
@@ -90,3 +90,30 @@ func generateMissingData(count int, codec Codec) [][]byte {
 
 	return output
 }
+
+// testCodec is a codec that is used for testing purposes.
+type testCodec struct{}
+
+func newTestCodec() Codec {
+	return &testCodec{}
+}
+
+func (c *testCodec) Encode(chunk [][]byte) ([][]byte, error) {
+	return chunk, nil
+}
+
+func (c *testCodec) Decode(chunk [][]byte) ([][]byte, error) {
+	return chunk, nil
+}
+
+func (c *testCodec) MaxChunks() int {
+	return 0
+}
+
+func (c *testCodec) Name() string {
+	return "testCodec"
+}
+
+func (c *testCodec) ValidateChunkSize(_ int) error {
+	return nil
+}
diff --git a/extendeddatasquare.go b/extendeddatasquare.go
index c05c6e6..c1a74de 100644
--- a/extendeddatasquare.go
+++ b/extendeddatasquare.go
@@ -274,6 +274,52 @@ func (eds *ExtendedDataSquare) Width() uint {
 	return eds.width
 }
 
+// Flattened returns the extended data square as a flattened slice of bytes.
+func (eds *ExtendedDataSquare) Flattened() [][]byte {
+	return eds.dataSquare.Flattened()
+}
+
+// FlattenedODS returns the original data square as a flattened slice of bytes.
+func (eds *ExtendedDataSquare) FlattenedODS() (flattened [][]byte) {
+	flattened = make([][]byte, eds.originalDataWidth*eds.originalDataWidth)
+	for i := uint(0); i < eds.originalDataWidth; i++ {
+		row := eds.Row(i)
+		for j := uint(0); j < eds.originalDataWidth; j++ {
+			flattened[(i*eds.originalDataWidth)+j] = row[j]
+		}
+	}
+	return flattened
+}
+
+// Equals returns true if other is equal to eds.
+func (eds *ExtendedDataSquare) Equals(other *ExtendedDataSquare) bool {
+	if eds.originalDataWidth != other.originalDataWidth {
+		return false
+	}
+	if eds.codec.Name() != other.codec.Name() {
+		return false
+	}
+	if eds.chunkSize != other.chunkSize {
+		return false
+	}
+	if eds.width != other.width {
+		return false
+	}
+
+	for rowIndex := uint(0); rowIndex < eds.Width(); rowIndex++ {
+		edsRow := eds.Row(rowIndex)
+		otherRow := other.Row(rowIndex)
+
+		for colIndex := 0; colIndex < len(edsRow); colIndex++ {
+			if !bytes.Equal(edsRow[colIndex], otherRow[colIndex]) {
+				return false
+			}
+		}
+	}
+
+	return true
+}
+
 // validateEdsWidth returns an error if edsWidth is not a valid width for an
 // extended data square.
 func validateEdsWidth(edsWidth uint) error {
diff --git a/extendeddatasquare_test.go b/extendeddatasquare_test.go
index 2b47ab3..caccadb 100644
--- a/extendeddatasquare_test.go
+++ b/extendeddatasquare_test.go
@@ -74,7 +74,7 @@ func TestComputeExtendedDataSquare(t *testing.T) {
 
 func TestImportExtendedDataSquare(t *testing.T) {
 	t.Run("is able to import an EDS", func(t *testing.T) {
-		eds := createExampleEds(t, ShardSize)
+		eds := createExampleEds(t, shareSize)
 		got, err := ImportExtendedDataSquare(eds.Flattened(), NewLeoRSCodec(), NewDefaultTree)
 		assert.NoError(t, err)
 		assert.Equal(t, eds.Flattened(), got.Flattened())
@@ -293,6 +293,85 @@ func genRandDS(width int, chunkSize int) [][]byte {
 	return ds
 }
 
+// TestFlattened_EDS tests that eds.Flattened() returns all the shares in the
+// EDS. This function has the `_EDS` suffix to avoid a name collision with the
+// TestFlattened.
+func TestFlattened_EDS(t *testing.T) {
+	example := createExampleEds(t, shareSize)
+	want := [][]byte{
+		ones, twos, zeros, threes,
+		threes, fours, eights, fifteens,
+		twos, elevens, thirteens, fours,
+		zeros, thirteens, fives, eights,
+	}
+
+	got := example.Flattened()
+	assert.Equal(t, want, got)
+}
+
+func TestFlattenedODS(t *testing.T) {
+	example := createExampleEds(t, shareSize)
+	want := [][]byte{
+		ones, twos,
+		threes, fours,
+	}
+
+	got := example.FlattenedODS()
+	assert.Equal(t, want, got)
+}
+
+func TestEquals(t *testing.T) {
+	t.Run("returns true for two equal EDS", func(t *testing.T) {
+		a := createExampleEds(t, shareSize)
+		b := createExampleEds(t, shareSize)
+		assert.True(t, a.Equals(b))
+	})
+	t.Run("returns false for two unequal EDS", func(t *testing.T) {
+		a := createExampleEds(t, shareSize)
+
+		type testCase struct {
+			name  string
+			other *ExtendedDataSquare
+		}
+
+		unequalOriginalDataWidth := createExampleEds(t, shareSize)
+		unequalOriginalDataWidth.originalDataWidth = 1
+
+		unequalCodecs := createExampleEds(t, shareSize)
+		unequalCodecs.codec = newTestCodec()
+
+		unequalChunkSize := createExampleEds(t, shareSize*2)
+
+		unequalEds, err := ComputeExtendedDataSquare([][]byte{ones}, NewLeoRSCodec(), NewDefaultTree)
+		require.NoError(t, err)
+
+		testCases := []testCase{
+			{
+				name:  "unequal original data width",
+				other: unequalOriginalDataWidth,
+			},
+			{
+				name:  "unequal codecs",
+				other: unequalCodecs,
+			},
+			{
+				name:  "unequal chunkSize",
+				other: unequalChunkSize,
+			},
+			{
+				name:  "unequalEds",
+				other: unequalEds,
+			},
+		}
+		for _, tc := range testCases {
+			t.Run(tc.name, func(t *testing.T) {
+				assert.False(t, a.Equals(tc.other))
+				assert.False(t, reflect.DeepEqual(a, tc.other))
+			})
+		}
+	})
+}
+
 func createExampleEds(t *testing.T, chunkSize int) (eds *ExtendedDataSquare) {
 	ones := bytes.Repeat([]byte{1}, chunkSize)
 	twos := bytes.Repeat([]byte{2}, chunkSize)