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  2. Linear-feedback shift register - Wikipedia

    en.wikipedia.org/wiki/Linear-feedback_shift_register

    In computing, a linear-feedback shift register (LFSR) is a shift register whose input bit is a linear function of its previous state. The most commonly used linear function of single bits is exclusive-or (XOR). Thus, an LFSR is most often a shift register whose input bit is driven by the XOR of some bits of the overall shift register value.

  3. Shrinking generator - Wikipedia

    en.wikipedia.org/wiki/Shrinking_generator

    This example uses two Galois LFRSs to produce the output pseudorandom bitstream. The Python code can be used to encrypt and decrypt a file or any bytestream ...

  4. Talk:Linear-feedback shift register - Wikipedia

    en.wikipedia.org/wiki/Talk:Linear-feedback_shift...

    Others have mentioned this, but to summarize: the Galois and Fibonacci LFSR should have the numbering of their taps reversed. Specifications like USB define Galois polynomials e.g. x^16 + x^5 + x^4 + x^3 + 1 which corresponds to taps at 16, 5, 4, 3. However, for industry, this is defined for a Galois LFSR with numbering starting from the left.

  5. List of random number generators - Wikipedia

    en.wikipedia.org/wiki/List_of_random_number...

    It is a very fast sub-type of LFSR generators. Marsaglia also suggested as an improvement the xorwow generator, in which the output of a xorshift generator is added with a Weyl sequence . The xorwow generator is the default generator in the CURAND library of the nVidia CUDA application programming interface for graphics processing units.

  6. Gold code - Wikipedia

    en.wikipedia.org/wiki/Gold_code

    A set of Gold codes can be generated with the following steps. Pick two maximum length sequences of the same length 2 n − 1 such that their absolute cross-correlation is less than or equal to 2 (n+2)/2, where n is the size of the linear-feedback shift register used to generate the maximum length

  7. Berlekamp–Massey algorithm - Wikipedia

    en.wikipedia.org/wiki/Berlekamp–Massey_algorithm

    The Berlekamp–Massey algorithm is an algorithm that will find the shortest linear-feedback shift register (LFSR) for a given binary output sequence. The algorithm will also find the minimal polynomial of a linearly recurrent sequence in an arbitrary field .

  8. Computation of cyclic redundancy checks - Wikipedia

    en.wikipedia.org/wiki/Computation_of_cyclic...

    Example of generating an 8-bit CRC. The generator is a Galois-type shift register with XOR gates placed according to powers (white numbers) of x in the generator polynomial. The message stream may be any length. After it has been shifted through the register, followed by 8 zeroes, the result in the register is the checksum.

  9. Rijndael MixColumns - Wikipedia

    en.wikipedia.org/wiki/Rijndael_MixColumns

    The MixColumns operation performed by the Rijndael cipher or Advanced Encryption Standard is, along with the ShiftRows step, its primary source of diffusion.. Each column of bytes is treated as a four-term polynomial () = + + +, each byte representing an element in the Galois field ⁡ ().