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The exhaustive list of topics in Error Correcting Codes in which we provide Help with Homework Assignment and Help with Project is as follows:

  • Error Correcting Codes.
  • Binary block codes for the binary symmetric channel; Mathematical preliminaries: groups, subgroups and cosets.
  • Linear block codes; Bounds on the size of a block code; Bounded and maximum-likelihood decoding of binary block codes; standard array decoding.
  • Convolutional codes; the Viterbi decoding algorithm.
  • The generalized distributive law (GDL).
  • The GDL perspective on the Viterbi and BCJR decoding algorithms; Turbo codes.
  • LDPC codes.
  • Fields; Polynomials rings; construction of finite fields.
  • Deducing the structure of a finite field; Subfields and cyclotomic cosets.
  • The finite field (Fourier) transform; cyclic codes via finite field transforms.
  • BCH and Reed-Solomon codes; decoding of BCH and RS codes.