Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 Fundamenta Informaticae

1 2015

Powiadomienia systemowe

Sesja wygasła!
Sesja wygasła!
Sesja wygasła!
Sesja wygasła!

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: upper probabilities

Sortuj według:

Ogranicz wyniki do:

Coding Theory : A General Framework and Two Inverse Problems

Bortolussi L., Dinu L. P., Franzoi L., Sgarro A.

Fundamenta Informaticae

2015

Vol. 141, nr 4

297--310

We put forward an ample framework for coding based on upper probabilities, or more generally on normalized monotone set-measures, and model accordingly noisy transmission channels and decoding errors. Two inverse problems are considered. In the first case, a decoder is given and one looks for channels of a specified family over which that decoder would work properly. In the second and more ambitious case, it is codes which are given, and one looks for channels over which those codes would ensure the required error correction capabilities. Upper probabilities allow for a solution of the two inverse problems in the case of usual codes based on checking Hamming distances between codewords: one can equivalently check suitable upper probabilities of the decoding errors. This soon extends to “odd” codeword distances for DNA strings as used in DNA word design, where instead, as we prove, not even the first unassuming inverse problem admits of a solution if one insists on channel models based on ”usual” probabilities.