MSC8144E Reference Manual, Rev. 3
26-32
Freescale
Semiconductor
Security Engine (SEC)
— maximum modulus size = 512 bits
— Point coordinates A0, A1, A2, and elliptic curve parameters A3, B0 are elements of the
polynomial field and therefore have fewer significant bits than the modulus N.
— E > 1
— maximum key size = 256 bytes
26.4.1.11.9 EC_FP_ADD: Prime Field Elliptic Curve Point Add in Projective
Coordinates (0x09)
Input:
— N = modulus, an odd number (If an even number is supplied, the EVM—even modulus
error bit in the PKEU Interrupt Status Register is set by the SEC.)
— Data Size =
the number of significant bits in N
— [A0, A1, A2] = first addend in projective coordinates and Montgomery format
— A3 = elliptic curve a parameter in Montgomery format
— B0 = elliptic curve b parameter in Montgomery format
— [B1, B2, B3] = second addend in projective coordinates and Montgomery format
Output:
— [B1, B2, B3] = [A0, A1, A2] + [B1, B2, B3], where + represents an elliptic curve point
addition. Outputs B1, B2, and B3 are in projective coordinates and Montgomery
format.
— B0 = elliptic curve b parameter in Montgomery format
Requirements:
— minimum modulus size = 97 bits
— maximum modulus size = 512 bits
— Point coordinates A0, A1, A2, B1, B2, B3, and elliptic curve parameters A3, B0 are
elements of the prime field and therefore are less than the modulus N.
26.4.1.11.10 EC_FP_DOUBLE: Prime Field Elliptic Curve Point Double in
Projective Coordinates (0x0A)
Input:
— N = modulus, an odd number (If an even number is supplied, the EVM—even modulus
error bit in the PKEU Interrupt Status Register will be set by the SEC.)
— Data Size =
the number of significant bits in N
— A0 = ignored
— A1 = ignored
— A2 = ignored
— A3 = elliptic curve a parameter in Montgomery format
— B0 = elliptic curve b parameter in Montgomery format
— [B1, B2, B3] = input point in projective coordinates and Montgomery format
Output:
Summary of Contents for MSC8144E
Page 1: ...MSC8144E Reference Manual Quad Core Media Signal Processor MSC8144ERM Rev 3 July 2009 ...
Page 48: ...MSC8144E Reference Manual Rev 3 xlviii Freescale Semiconductor ...
Page 86: ...MSC8144E Reference Manual Rev 3 1 38 Freescale Semiconductor Overview ...
Page 168: ...MSC8144E Reference Manual Rev 3 3 60 Freescale Semiconductor External Signals ...
Page 242: ...MSC8144E Reference Manual Rev 3 5 26 Freescale Semiconductor Reset ...
Page 314: ...MSC8144E Reference Manual Rev 3 8 24 Freescale Semiconductor General Configuration Registers ...
Page 414: ...MSC8144E Reference Manual Rev 3 10 14 Freescale Semiconductor MSC8144E SC3400 DSP Subsystem ...
Page 452: ...MSC8144E Reference Manual Rev 3 11 38 Freescale Semiconductor Internal Memory Subsystem ...
Page 520: ...MSC8144E Reference Manual Rev 3 12 68 Freescale Semiconductor DDR SDRAM Memory Controller ...
Page 1070: ...MSC8144E Reference Manual Rev 3 21 28 Freescale Semiconductor Timers ...