On S-Sum-Sets and Projective Codes

On S-Sum-Sets and Projective Codes
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DOI:
10.1007/3-540-16776-5_716
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发表时间:
1985-07
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通讯作者:
Mercè Griera;J. Rifà;Llorenç Huguet i Rotger
Mercè Griera;J. Rifà;Llorenç Huguet i Rotger
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作者:
Mercè Griera;J. Rifà;Llorenç Huguet i Rotger

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引入并刻画了s-和集,它是部分差集和三重和集的自然推广。本文证明了:若Ω是C(n,k)的坐标形式的集合,且X=F*Ω是一个s-和集,则C(n,k)有不超过三个非零的不同权。
We introduce and characterize s-sum-sets which are a natural extension of partial-difference-sets and triple-sum-sets. We show that if Ω is the set of coordinate forms ofC(n,k) and if X=F*Ω is an s-sum-set thenC(n,k) has not more than three non-zero distinct weights.