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A formalized optimum code search for q-ary trellis codes
(Institute of Electrical and Electronics Engineers (IEEE), 1997-01-01)
This paper gives a formalization for q-ary codes of the search algorithm [3] for optimum codes based on lattices and cosets [1]. With a more efficient and an automated algorithm it also has been possible to extend the ...
Encoding through generalized polynomial codes
(2011-08-31)
This paper introduces novel constructions of cyclic codes using semigroup rings instead of polynomial rings. These constructions are applied to define and investigate the BCH, alternant, Goppa, and Srivastava codes. This ...
Quantum Error-correcting Codes From Algebraic Geometry Codes Of Castle Type
(SpringerNew York, 2016)
Graphs, tessellations, and perfect codes on flat tori
(Ieee-inst Electrical Electronics Engineers IncPiscatawayEUA, 2004)
Efficient utilization of various network coding techniques in different wireless scenarios
(Springer Verlag, 2015)
A decoding method of an n length binary BCH code through (n + 1)n length binary cyclic code
(2013-09-01)
For a given binary BCH code Cn of length n = 2s-1 generated by a polynomial g(x)e{open}F2[x] of degree r there is no binary BCH code of length (n + 1)n generated by a generalized polynomial g(x1/2)e{open}F2[x1/2ℤ ≥ 0] of ...
Constructions of new families of nonbinary CSS codes
(Elsevier Science BvAmsterdamHolanda, 2010)