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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.
In their paper, [1] Meier and Steffelbach prove that a LFSR-based self-shrinking generator with a connection polynomial of length L results in an output sequence period of at least 2 L/2, and a linear complexity of at least 2 L/2-1. Furthermore, they show that any self-shrinking generator can be represented as a shrinking-generator.
The C/A codes are generated by combining (using "exclusive or") two bit streams, each generated by two different maximal period 10 stage linear-feedback shift registers (LFSR). Different codes are obtained by selectively delaying one of those bit streams. Thus: C/A i (t) = A(t) ⊕ B(t-D i) where: C/A i is the code with PRN number i.
Glass chart. A 1951 USAF resolution test chart is a microscopic optical resolution test device originally defined by the U.S. Air Force MIL-STD-150A standard of 1951. The design provides numerous small target shapes exhibiting a stepped assortment of precise spatial frequency specimens.
In cryptography, the shrinking generator is a form of pseudorandom number generator intended to be used in a stream cipher.It was published in Crypto 1993 by Don Coppersmith, Hugo Krawczyk and Yishay Mansour.
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 .
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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. Checking received data with checksum.