C Generate 256 Bit Aes Key

AES uses a key schedule to expand a short key into a number of separate round keys. The three AES variants have a different number of rounds. Each variant requires a separate 128-bit round key for each round plus one more. The key schedule produces the needed round keys from the initial key. Mar 05, 2015  Using Key/SecureKey. Now, let's show a simple example of creating an encrypted standard string with the use of a key. AES encryption only supports 128-bit (16 bytes), 192-bit (24 bytes) or 256-bit key (32 bytes) lengths, so we'll need to create or generate an appropriate key. RandomKeygen is a free mobile-friendly tool that offers randomly generated keys and passwords you can use to secure any application, service or device. KEY RandomKeygen - The Secure Password & Keygen Generator.

  1. Generate 256 Bit Key
  2. C Generate 256 Bit Aes Key Size

AES uses a key schedule to expand a short key into a number of separate round keys. The three AES variants have a different number of rounds. Each variant requires a separate 128-bit round key for each round plus one more.[note 1] The key schedule produces the needed round keys from the initial key.

C Generate 256 Bit Aes Key

Round constants[edit]

Values of rci in hexadecimal
i12345678910
rci01020408102040801B36

The round constant rconi for round i of the key expansion is the 32-bit word:

rconi=[rci001600160016]{displaystyle rcon_{i}={begin{bmatrix}rc_{i}&00_{16}&00_{16}&00_{16}end{bmatrix}}}

where rci is an eight-bit value defined as:

rci={1if i=12rci1if i>1 and rci1<8016(2rci1)1B16if i>1 and rci18016{displaystyle rc_{i}={begin{cases}1&{text{if }}i=12cdot rc_{i-1}&{text{if }}i>1{text{ and }}rc_{i-1}<80_{16}(2cdot rc_{i-1})oplus {text{1B}}_{16}&{text{if }}i>1{text{ and }}rc_{i-1}geq 80_{16}end{cases}}}

where {displaystyle oplus } is the bitwise XOR operator and constants such as 0016 and 1B16 are given in hexadecimal. Equivalently:

Generate 256 Bit Key

rci=xi1{displaystyle rc_{i}=x^{i-1}}

where the bits of rci are treated as the coefficients of an element of the finite fieldGF(2)[x]/(x8+x4+x3+x+1){displaystyle {rm {{GF}(2)[x]/(x^{8}+x^{4}+x^{3}+x+1)}}}, so that e.g. Driver easy key generator 5.6.2. rc10=3616=001101102{displaystyle rc_{10}=36_{16}=00110110_{2}} represents the polynomial x5+x4+x2+x{displaystyle x^{5}+x^{4}+x^{2}+x}.

C Generate 256 Bit Aes Key Size

AES uses up to rcon10 for AES-128 (as 11 round keys are needed), up to rcon8 for AES-192, and up to rcon7 for AES-256.[note 2]

The key schedule[edit]

AES key schedule for a 128-bit key

Define:

  • N as the length of the key in 32-bit words: 4 words for AES-128, 6 words for AES-192, and 8 words for AES-256
  • K0, K1, .. KN-1 as the 32-bit words of the original key
  • R as the number of round keys needed: 11 round keys for AES-128, 13 keys for AES-192, and 15 keys for AES-256[note 3]
  • W0, W1, .. W4R-1 as the 32-bit words of the expanded key[note 4]

Also define RotWord as a one-byte left circular shift:

RotWord([b0b1b2b3])=[b1b2b3b0]{displaystyle operatorname {RotWord} ({begin{bmatrix}b_{0}&b_{1}&b_{2}&b_{3}end{bmatrix}})={begin{bmatrix}b_{1}&b_{2}&b_{3}&b_{0}end{bmatrix}}}

and SubWord as an application of the AES S-box to each of the four bytes of the word:

SubWord([b0b1b2b3])=[S(b0)S(b1)S(b2)S(b3)]{displaystyle operatorname {SubWord} ({begin{bmatrix}b_{0}&b_{1}&b_{2}&b_{3}end{bmatrix}})={begin{bmatrix}operatorname {S} (b_{0})&operatorname {S} (b_{1})&operatorname {S} (b_{2})&operatorname {S} (b_{3})end{bmatrix}}}

Then for i=04R1{displaystyle i=0ldots 4R-1}:

Wi={Kiif i<NWiNSubWord(RotWord(Wi1))rconi/Nif iN and i0(modN)WiNSubWord(Wi1)if iN, N>6, and i4(modN)WiNWi1otherwise.{displaystyle W_{i}={begin{cases}K_{i}&{text{if }}i<NW_{i-N}oplus operatorname {SubWord} (operatorname {RotWord} (W_{i-1}))oplus rcon_{i/N}&{text{if }}igeq N{text{ and }}iequiv 0{pmod {N}}W_{i-N}oplus operatorname {SubWord} (W_{i-1})&{text{if }}igeq N{text{, }}N>6{text{, and }}iequiv 4{pmod {N}}W_{i-N}oplus W_{i-1}&{text{otherwise.}}end{cases}}}

Notes[edit]

  1. ^Non-AES Rijndael variants require up to 256 bits of expanded key per round
  2. ^The Rijndael variants with larger block sizes use more of these constants, up to rcon29 for Rijndael with 128-bit keys and 256 bit blocks (needs 15 round keys of each 256 bit, which means 30 full rounds of key expansion, which means 29 calls to the key schedule core using the round constants). The remaining constants for i ≥ 11 are: 6C, D8, AB, 4D, 9A, 2F, 5E, BC, 63, C6, 97, 35, 6A, D4, B3, 7D, FA, EF and C5
  3. ^Other Rijndael variants require max(N, B) + 7 round keys, where B is the block size in words
  4. ^Other Rijndael variants require BR words of expanded key, where B is the block size in words

References[edit]

Key
  • FIPS PUB 197: the official AES standard (PDF file)

External links[edit]

  • schematic view of the key schedule for 128 and 256 bit keysfor 160-bit keys on Cryptography Stack Exchange
Retrieved from 'https://en.wikipedia.org/w/index.php?title=AES_key_schedule&oldid=921145964'

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Implementation for php 7.x was added

As you see this implementation is using openssl instead of mcrypt and the result of the encryption/decryption is not compatible with each other.
The mcrypt function will be deprecated feature in PHP 7.1.x

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