Type IV codes over a non-unital ring
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DOI: 10.1142/s0219498822501420
Abstract: There is a special local ring E of order 4, without identity for the multiplication, defined by E = a, b | 2a = 2b = 0, a 2 = a, b 2 = b,… read more here.
Keywords: codes non; type codes; unital ring; non unital ... See more keywords
Skew Constacyclic Codes over a Non-Chain Ring
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DOI: 10.3390/e25030525
Abstract: In this paper, we investigate the algebraic structure of the non-local ring Rq=Fq[v]/〈v2+1〉 and identify the automorphisms of this ring to study the algebraic structure of the skew constacyclic codes and their duals over this… read more here.
Keywords: skew constacyclic; codes non; non chain; entanglement ... See more keywords
Cyclic Codes over a Non-Local Non-Unital Ring
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DOI: 10.3390/math12060866
Abstract: We study cyclic codes over the ring H of order 4 and characteristic 2 defined by generators and relations as H=⟨a,b∣2a=2b=0,a2=0,b2=b,ab=ba=0⟩. This is the first time that cyclic codes over a non-unitary ring are studied.… read more here.
Keywords: non local; codes length; codes non; non unital ... See more keywords
On the Duality of Codes over Non-Unital Commutative Ring of Order p2
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DOI: 10.3390/sym17050690
Abstract: This paper establishes an extended theoretical framework centered on the duality of codes constructed over a special class of non-unital, commutative, local rings of order p2, where p is a prime satisfying p≡1mod4 or p≡3mod4.… read more here.
Keywords: unital commutative; codes non; non unital; duality codes ... See more keywords
The Perfect Codes of Non-coprime and Coprime Graphs
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DOI: 10.46793/kgjmat2506.913t
Abstract: In this paper, we focus on the perfect and total perfect codes of the non-coprime and coprime graphs associated to the dihedral groups and finite Abelian groups. We used the advantage of independent sets and… read more here.
Keywords: codes non; perfect codes; non coprime; coprime coprime ... See more keywords