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Titlebook: Codes, Curves, and Signals; Common Threads in Co Alexander Vardy Book 1998 Springer Science+Business Media New York 1998 Generator.Signal.a

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楼主: Interpolate
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https://doi.org/10.1007/978-1-4615-5121-8Generator; Signal; algebra; algorithms; coding; coding theory; communication; cryptography; digital signal p
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Chunhui Zhao,Chundong Wang,Wenbai ZhengHermitian-like codes over GF(4) are introduced. For these Hermitian-like codes, we derive a new lower bound of the minimum distance based on nearly-well-behaving sequences. Applying the new bound, we derive improved Hermitian-like codes. We also prove that the improved Hermitian-like codes over GF(4) exceed the Drinfeld-Vlăduţ bound.
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Xiaoyu Guo,Yan Liu,Xianmin Meng,Lian LiuThe fundamental properties of Fourier transforms derive from properties of locally compact abelian groups. Fourier transforms are group character transforms, and time-frequency duality is Pontryagin duality. Applications to block codes, MacWilliams identities and fast Fourier transforms are given.
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Amna Qureshi,M. Shahwaiz Afaqui,Julián SalasThe relation between spherical codes and self-dual association schemes is outlined. In particular, we show that certain spherical codes can be expressed in a natural way as a family of functions characterized by the property that their Fourier transforms have support in a fixed set of partition classes.
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https://doi.org/10.1007/978-3-319-93677-2We consider a generalization of balanced ternary codes from one to two dimensions. The construction uses linear filtering of random fields, and we discuss upper bounds on the entropy based on linear prediction.
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