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- W2139737487 abstract "Impulse radio sequences (IRSs) were first introduced by Chu and Colbourn in (IEEE Trans. Inf. Theory, Vol. 50, pp. 2402-2407, 2004). Let Ψ( <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</i> , <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>k</i> , λ) denote the maximal possible number of sequences in an ( <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</i> , <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>k</i> , λ)-IRS. In this paper, a fundamental equivalence between impulse radio sequences and strictly cyclic packing having the impulse position property is established. With their relationship, the exact value of Ψ( <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</i> , <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>k</i> , <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>k</i> - 1) is finally determined for any positive integers <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</i> and <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>k</i> ." @default.
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- W2139737487 date "2011-06-01" @default.
- W2139737487 modified "2023-09-23" @default.
- W2139737487 title "Determination of the Exact Value for $Psi(m,k,k-1)$" @default.
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- W2139737487 doi "https://doi.org/10.1109/tit.2011.2132530" @default.
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