We present error-correcting codes that achieve the information-theoretically best possible trade-off between the rate and error-correction radius. Specifically, for every 0 < R...
The development of Reed-Solomon (RS) codes has allowed for improved data transmission over a variety of communication media. Although Reed-Solomon decoding provides a powerful def...
Lilian Atieno, Jonathan Allen, Dennis Goeckel, Rus...
The analysis of random coding error exponents pertaining to erasure/list decoding, due to Forney, is revisited. Instead of using Jensen’s inequality as well as some other inequa...