Sumários
4 abril 2019, 08:30
•
Pedro Alves Martins Rodrigues
The Griesmer Bound: example of non-existence of a code.
Majority Logic Decoding.
29 março 2019, 11:00
•
Pedro Alves Martins Rodrigues
Generating polynomials: existence and uniqueness of a generating idempotent. Decomposition of Cyclic Codes
28 março 2019, 08:30
•
Pedro Alves Martins Rodrigues
Example of error trapping decoding.
Burst errors. Conditions for burst-error detection and correction.
Error trapping applied to burst-error correction.
Zeros of a code. BCH bound on the minimal distance of a cyclic code.
22 março 2019, 11:00
•
Pedro Alves Martins Rodrigues
Definition and properties of Cyclic codes.
Polynomial representation; generator polynomial and the corresponding generating matrix.
Parity-check matrix by duality; generator of the dual code.
Encoding and systematic encoding.
Decoding: syndromes as remainders of polynomial division. Simple decoding procedure in the case of syndroms of weigth <=t.
Error trapping decoding
21 março 2019, 08:30
•
Pedro Alves Martins Rodrigues
Review on Finite Fields.
Factorization of polynomials into irreducible factors. Cyclotomic cosets and factorization.
Number of irreducible polynomials of a given degree.
Cyclotomic polynomials
