منابع مشابه
Trace-Orthonormal Full-Diversity Cyclotomic Space-Time Codes
In this paper, we consider the design of full diversity space-time codes for a coherent MIMO communication system. Starting from both the information theoretic and detection error viewpoints, we first establish that a desirable property for general linear dispersion (LD) codes is to have an inter-unitary as well as an intra-unitary structure – a structure we call traceorthonormality. By imposin...
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We provide a new construction of the topological cyclic homology TC(C) of any spectrally-enriched ∞-category C, which affords a precise algebro-geometric interpretation of the cyclotomic trace map K(X) → TC(X) from algebraic K-theory to topological cyclic homology for any scheme X. This construction rests on a new identification of the cyclotomic structure on THH(C), which we find to be a conse...
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Article history: Received 27 December 2012 Revised 26 March 2013 Accepted 28 March 2013 Available online 17 April 2013 Communicated by Arne Winterhof MSC: 94B15 94B05 05B50
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Low-density parity check (LDPC) codes are an important class of codes with many applications. Two algebraic methods for constructing regular LDPC codes are derived – one based on nonprimitive narrow-sense BCH codes and the other directly based on cyclotomic cosets. The constructed codes have high rates and are free of cycles of length four; consequently, they can be decoded using standard itera...
متن کاملTwo-weight and three-weight codes from trace codes over
We construct an infinite family of two-Lee-weight and three-Lee-weight codes over the non-chain ring Fp+uFp+ vFp+uvFp, where u 2 = 0, v = 0, uv = vu. These codes are defined as trace codes. They have the algebraic structure of abelian codes. Their Lee weight distribution is computed by using Gauss sums. With a linear Gray map, we obtain a class of abelian three-weight codes and two-weight codes...
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ژورنال
عنوان ژورنال: Algorithms
سال: 2019
ISSN: 1999-4893
DOI: 10.3390/a12080168