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Arithmetic Processors and Error
Arithmetic Codes Their Classes
5 other sections not shown
Abelian group adder addition modulo algorithm arithmetic codes arithmetic operations arithmetic processor arithmetic weight B-orbits BCH codes biresidue code BM codes burst error bytes check bases Chien closed under addition Codes for Arithmetic codeword complement systems Comput congruence consider cosets cyclic AN code cyclic codes deﬁned deﬁnition denote digits divides divisor elementary operations end-around-carries Error Codes error correction error detection Error-Correcting Codes example ﬁeld Figure ﬁnite ﬁrst gAN code GF(A given Hamming code Hamming distance Hamming weight IEEE Trans information range integers modulo l’s complement Lemma logic block logic faults minimum distance modular distance modular weight modulo multiple multiresidue code n-tuple obtain operand outputs Peterson polynomial primitive element Proof radix reduced residue system redundancy relatively prime residue checkers residue classes result ring satisﬁes Section separate codes single error speciﬁed subgroup syndrome decoder systematic T. R. N. Rao Table Theorem