1. bookVolumen 30 (2022): Heft 1 (February 2022)
Zeitschriftendaten
License
Format
Zeitschrift
eISSN
1844-0835
Erstveröffentlichung
17 May 2013
Erscheinungsweise
1 Hefte pro Jahr
Sprachen
Englisch
access type Uneingeschränkter Zugang

DNA codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4

Online veröffentlicht: 12 Mar 2022
Volumen & Heft: Volumen 30 (2022) - Heft 1 (February 2022)
Seitenbereich: 89 - 108
Eingereicht: 14 Jun 2021
Akzeptiert: 31 Jul 2021
Zeitschriftendaten
License
Format
Zeitschrift
eISSN
1844-0835
Erstveröffentlichung
17 May 2013
Erscheinungsweise
1 Hefte pro Jahr
Sprachen
Englisch
Abstract

A one to one correspondence between the elements of a finite local Frobenius non-chain ring of length 5 and nilpotency index 4, and k-tuples of DNA codewords is established. Using this map the structure of DNA codes over these rings is determined, the length of the code is relatively prime to the characteristic of the residue field of the ring.

MSC 2010

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