After defining the elementary symmetric functions, a general key equation based on the elementary symmetric functions for error correction is given. It is then shown how these elementary symmetric functions can be efficiently calculated. Then, some efficient t asymmetric error correcting codes, efficient methods of decoding of linear codes for asymmetric errors, error correcting codes for L1 and Lee metric when the symbols are over higher radix, error correcting codes for insertion and deletion of symbols, error correcting codes for high ordered spectral null codes, etc. are described. All these are done based on the elementary symmetric functions theory.
Code designs based on elementary symmetric functions (ad invito)
Tallini, Luca G.;
2013-01-01
Abstract
After defining the elementary symmetric functions, a general key equation based on the elementary symmetric functions for error correction is given. It is then shown how these elementary symmetric functions can be efficiently calculated. Then, some efficient t asymmetric error correcting codes, efficient methods of decoding of linear codes for asymmetric errors, error correcting codes for L1 and Lee metric when the symbols are over higher radix, error correcting codes for insertion and deletion of symbols, error correcting codes for high ordered spectral null codes, etc. are described. All these are done based on the elementary symmetric functions theory.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
