Error-correcting codes via abstract and linear algebra. Emphasis on proofs and computation. Finite fields, Hamming distance and error-correction, upper and lower bounds on the size of a code, linear codes, groups and cosets, encoding and decoding schemes. [3-0-0] Prerequisite: Either (a) one of MATH 152, MATH 221 and one of MATH 220, MATH 226, CPSC 121; or (b) MATH 223.
Error-correcting codes via abstract and linear algebra. Emphasis on proofs and computation. Finite fields, Hamming distance and error-correction, upper and lower bounds on the size of a code, linear codes, groups and cosets, encoding and decoding schemes. [3-0-0] Prerequisite: Either (a) one of MATH 152, MATH 221 and one of MATH 220, MATH 226, CPSC 121; or (b) MATH 223.
