NUMBER PARITY DUALITY, NON-DISTRIBUTIVITY, AND A NONLINEAR ERROR-CORRECTING CODE

DANILO DIEDRICHS; HUNTER DINKINS; JOHNNY EDMAN; SADIE FLORA; PAUL ISIHARA; CORBIN MCNEILL; ERICA SWAIN; HUDSON THOMAS; NICK VARBERG

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NUMBER PARITY DUALITY, NON-DISTRIBUTIVITY, AND A NONLINEAR ERROR-CORRECTING CODE

机译：奇偶校验对偶，非分配性和非线性错误纠正代码

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Number parity duality and non-distributive arithmetic lead to a nonlinear errorcorrecting code over Z which generalizes linear Hamming codes.

机译：奇偶对偶和非分布算术导致在Z上的非线性纠错码，从而泛化了线性汉明码。

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来源
《Pi Mu Epsilon journal》 |2016年第5期|共7页
作者
DANILO DIEDRICHS; HUNTER DINKINS; JOHNNY EDMAN; SADIE FLORA; PAUL ISIHARA; CORBIN MCNEILL; ERICA SWAIN; HUDSON THOMAS; NICK VARBERG;
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正文语种 eng
中图分类数学;
关键词
duality; non-distributive; arithmetic;

机译：对偶性;非分配性;算术;

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专利

1. NUMBER PARITY DUALITY, NON-DISTRIBUTIVITY, AND A NONLINEAR ERROR-CORRECTING CODE [J] . DANILO DIEDRICHS, HUNTER DINKINS, JOHNNY EDMAN, Pi Mu Epsilon journal . 2016,第5期

机译：奇偶校验对偶，非分配性和非线性错误纠正代码
2. Enhancing the Error-correcting Capability of Imai-Kamiyanagi Codes for Data Storage Systems by Adopting Iterative Decoding using a Parity Check Tree [J] . H. Prashantha Kumar, U. Sripati, K. Rajesh Shetty, IETE Journal of Research . 2012,第4期

机译：通过使用奇偶校验树进行迭代解码来增强Imai-Kamiyanagi码用于数据存储系统的纠错能力
3. Quantum quasi-cyclic low-density parity-check error-correcting codes [J] . 李渊, 曾贵华, Moon Ho Lee 中国物理：英文版 . 2009,第010期

机译：量子准循环低密度奇偶校验纠错码
4. Design of Near-Optimum Quantum Error-Correcting Codes Based on Generator and Parity-Check Matrices of LDGM Codes [C] . Javier Garcia-Frias, Kejing Liu Annual Conference on Information Sciences and Systems . 2008

机译：基于发电机和LDGM代码的奇偶校验矩阵的近最佳量子误差码设计
5. ITERATIVELY MAXIMUM LIKELIHOOD DECODABLE SPHERICAL CODES (CODING, ERROR-CORRECTING, DECODING, TELECOMMUNICATIONS, PACKINGS). [D] . GAO, JIAPENG. 1984

机译：迭代式最大可衰落球形编码（编码，错误纠正，解码，电信，包装）。
6. Dual number-based variational data assimilation: Constructing exact tangent linear and adjoint code from nonlinear model evaluations [O] . Jann Paul Mattern, Christopher A. Edwards, Christopher N. Hill 2012

机译：基于对偶数的变分数据同化：根据非线性模型求值构造精确的正切线性代码和伴随代码
7. The investigation of characteristics of error-correcting block turbo-codes based on low-density parity-checked codes [O] . L. E. Nazarov, P. V. Shishkin 2018

机译：基于低密度奇偶校正码的纠错块涡轮码特性研究
8. Cyclic Codes. Research Program to Extend the Theory of Weight Distribution and Related Problems for Cyclic Error-Correcting Codes and Constructive Coding Theory [R] . Assmus, E. F., Mattson, H. F., Turyn, R. 1966

机译：循环码。扩展循环纠错码权重分布理论及相关问题的研究方案及构造编码理论

NUMBER PARITY DUALITY, NON-DISTRIBUTIVITY, AND A NONLINEAR ERROR-CORRECTING CODE

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