field arithmetic cleanup

Co-authored-by: Armando Faz <armfazh@users.noreply.github.com>

kem/mceliece/gen.go

@@ -57,39 +57,39 @@ func (m Instance) Is8192128() bool {
 
 var (
 	McElieceParam348864 = Param{
-		Gf:             "gf4096",
+		Gf:             "gf2e12",
 		PublicKeySize:  261120,
 		PrivateKeySize: 6492,
 		CiphertextSize: 96,
 		SysN:           3488,
 		SysT:           64,
 	}
 	McElieceParam460896 = Param{
-		Gf:             "gf8192",
+		Gf:             "gf2e13",
 		PublicKeySize:  524160,
 		PrivateKeySize: 13608,
 		CiphertextSize: 156,
 		SysN:           4608,
 		SysT:           96,
 	}
 	McElieceParam6688128 = Param{
-		Gf:             "gf8192",
+		Gf:             "gf2e13",
 		PublicKeySize:  1044992,
 		PrivateKeySize: 13932,
 		CiphertextSize: 208,
 		SysN:           6688,
 		SysT:           128,
 	}
 	McElieceParam6960119 = Param{
-		Gf:             "gf8192",
+		Gf:             "gf2e13",
 		PublicKeySize:  1047319,
 		PrivateKeySize: 13948,
 		CiphertextSize: 194,
 		SysN:           6960,
 		SysT:           119,
 	}
 	McElieceParam8192128 = Param{
-		Gf:             "gf8192",
+		Gf:             "gf2e13",
 		PublicKeySize:  1357824,
 		PrivateKeySize: 14120,
 		CiphertextSize: 208,

kem/mceliece/internal/fft_const.go

@@ -1,8 +1,8 @@
 package internal
 
 import (
-	"github.com/cloudflare/circl/math/gf4096"
-	"github.com/cloudflare/circl/math/gf8192"
+	"github.com/cloudflare/circl/math/gf2e12"
+	"github.com/cloudflare/circl/math/gf2e13"
 )
 
 var ButterfliesReversal4096 = [64]byte{
@@ -45,7 +45,7 @@ var RadixConversionsMask = [5][2]uint64{
 	{0xFFFF000000000000, 0x0000FFFF00000000},
 }
 
-var ButterfliesConst = [128][gf8192.GfBits]uint64{
+var ButterfliesConst = [128][gf2e13.Bits]uint64{
 	{
 		0x6969969669699696,
 		0x9966669966999966,
@@ -1968,7 +1968,7 @@ var ButterfliesConst = [128][gf8192.GfBits]uint64{
 	},
 }
 
-var RadixConversionsS = [5][2][gf8192.GfBits]uint64{
+var RadixConversionsS = [5][2][gf2e13.Bits]uint64{
 	{
 		{
 			0x3C3CF30C0000C003,
@@ -2131,7 +2131,7 @@ var RadixConversionsS = [5][2][gf8192.GfBits]uint64{
 	},
 }
 
-var RadixConversionsS4096 = [5][gf4096.GfBits]uint64{
+var RadixConversionsS4096 = [5][gf2e12.Bits]uint64{
 	{
 		0xF3CFC030FC30F003,
 		0x3FCF0F003C00C00C,
@@ -2204,7 +2204,7 @@ var RadixConversionsS4096 = [5][gf4096.GfBits]uint64{
 	},
 }
 
-var ButterfliesConsts4096 = [63][gf4096.GfBits]uint64{
+var ButterfliesConsts4096 = [63][gf2e12.Bits]uint64{
 	// 64
 	{
 		0xF00F0FF0F00F0FF0,

kem/mceliece/internal/powers.go

@@ -1,11 +1,11 @@
 package internal
 
 import (
-	"github.com/cloudflare/circl/math/gf4096"
-	"github.com/cloudflare/circl/math/gf8192"
+	"github.com/cloudflare/circl/math/gf2e12"
+	"github.com/cloudflare/circl/math/gf2e13"
 )
 
-var Powers4096 = [64][gf4096.GfBits]uint64{
+var Powers4096 = [64][gf2e12.Bits]uint64{
 	{
 		0x0F0F0F0FF0F0F0F0,
 		0xFFFF0000FFFF0000,
@@ -904,7 +904,7 @@ var Powers4096 = [64][gf4096.GfBits]uint64{
 	},
 }
 
-var Powers8192 = [128][gf8192.GfBits]uint64{
+var Powers8192 = [128][gf2e13.Bits]uint64{
 	{
 		0x5AA55AA5A55AA55A,
 		0x3CC33CC3C33CC33C,