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- W2951033582 abstract "Two sets $A, B subseteq {0, 1}^n$ form a Uniquely Decodable Code Pair (UDCP) if every pair $a in A$, $b in B$ yields a distinct sum $a+b$, where the addition is over $mathbb{Z}^n$. We show that every UDCP $A, B$, with $|A| = 2^{(1-epsilon)n}$ and $|B| = 2^{beta n}$, satisfies $beta leq 0.4228 +sqrt{epsilon}$. For sufficiently small $epsilon$, this bound significantly improves previous bounds by Urbanke and Li~[Information Theory Workshop '98] and Ordentlich and Shayevitz~[2014, arXiv:1412.8415], which upper bound $beta$ by $0.4921$ and $0.4798$, respectively, as $epsilon$ approaches $0$." @default.
- W2951033582 created "2019-06-27" @default.
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- W2951033582 date "2016-05-02" @default.
- W2951033582 modified "2023-10-01" @default.
- W2951033582 title "Sharper Upper Bounds for Unbalanced Uniquely Decodable Code Pairs" @default.
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