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A Study on Minimal Codewords in the Hamming Codes
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作者 Selda CALKAVUR 《Journal of Mathematics and System Science》 2013年第6期279-281,共3页
In this paper, we show that if Wmax 〈 6 for the Hamming code Ham (r, 2), then all of the nonzero codewords of Ham (r, 2) are minimal and if Wrnax 〈 8 for the extended Hamming code Hfim (r, 2), then all of the ... In this paper, we show that if Wmax 〈 6 for the Hamming code Ham (r, 2), then all of the nonzero codewords of Ham (r, 2) are minimal and if Wrnax 〈 8 for the extended Hamming code Hfim (r, 2), then all of the nonzero codewords ofHfim (r, 2) are minimal, where Wmax is the maximum nonzero weight in Ham (r, 2) and Hfim (r, 2). 展开更多
关键词 Linear code hamming code extended hamming code minimal codeword.
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