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A004136
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Additive bases: a(n) is the least integer k such that in the cyclic group Z_k there is a subset of n elements all pairs (of not necessarily distinct elements) of which add up to a different sum (in Z_k).
(history;
published version)
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#41 by Alois P. Heinz at Sun Feb 02 20:10:55 EST 2020
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#40 by Jon E. Schoenfield at Sun Feb 02 18:41:25 EST 2020
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#39 by Jon E. Schoenfield at Sun Feb 02 18:41:23 EST 2020
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H. Haanpaa, A. Huima and Patric P. R. J. Ostergard. Östergård, <a href="https://doi.org/10.1016/S0166-218X(03)00273-7">Sets in Z_n with Distinct Sums of Pairs</a>, in Optimal discrete structures and algorithms (ODSA 2000). Discrete Appl. Math. 138 (2004), no. 1-2, 99-106.
H. Haanpaa, A. Huima and Patric P. R. J. Ostergard. Östergård, <a href="/A004135/a004135.pdf">Sets in Z_n with Distinct Sums of Pairs</a>, in Optimal discrete structures and algorithms (ODSA 2000). Discrete Appl. Math. 138 (2004), no. 1-2, 99-106. [Annotated scanned copies of four pages only from preprint of paper above]
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approved
editing
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#38 by Joerg Arndt at Mon Sep 11 05:23:01 EDT 2017
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#37 by Joerg Arndt at Mon Sep 11 05:22:51 EDT 2017
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#36 by Joerg Arndt at Mon Sep 11 05:22:40 EDT 2017
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H. Haanpaa, A. Huima and P. R. J. Ostergard, <a href="/A004135/a004135.pdf">Sets in Z_n with Distinct Sums of Pairs</a>, in Optimal discrete structures and algorithms (ODSA 2000). Discrete Appl. Math. 138 (2004), no. 1-2, 99-106. [Annotated scanned copies of four pages only from preprint of paper] <a href="https://doi.org/10.1016/S0166-218X(03)00273-7">doi:10.1016/S0166-218X(03)00273-7</a>above]
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#35 by Joerg Arndt at Mon Sep 11 05:21:56 EDT 2017
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H. Haanpaa, A. Huima and P. R. J. Ostergard, <a href="https://doi.org/10.1016/S0166-218X(03)00273-7">Sets in Z_n with Distinct Sums of Pairs</a>, in Optimal discrete structures and algorithms (ODSA 2000). Discrete Appl. Math. 138 (2004), no. 1-2, 99-106.
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proposed
editing
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#34 by Andrey Zabolotskiy at Mon Sep 11 05:20:06 EDT 2017
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#33 by Andrey Zabolotskiy at Mon Sep 11 05:19:56 EDT 2017
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H. Haanpaa, A. Huima and P. R. J. Ostergard, <a href="/A004135/a004135.pdf">Sets in Z_n with Distinct Sums of Pairs</a>, in Optimal discrete structures and algorithms (ODSA 2000). Discrete Appl. Math. 138 (2004), no. 1-2, 99-106. [Annotated scanned copies of four pages only from preprint of paper] <a href="https://doi.org/10.1016/S0166-218X(03)00273-7">doi:10.1016/S0166-218X(03)00273-7</a>
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#32 by Andrey Zabolotskiy at Mon Sep 11 05:19:18 EDT 2017
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| REFERENCES
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H. Haanpaa, A. Huima and P. R. J. Ostergard, Sets in Z_n with Distinct Sums of Pairs, in Optimal discrete structures and algorithms (ODSA 2000). Discrete Appl. Math. 138 (2004), no. 1-2, 99-106.
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H. Haanpaa, A. Huima and P. R. J. Ostergard, <a href="/A004135/a004135.pdf">Sets in Z_n with Distinct Sums of Pairs</a>, in Optimal discrete structures and algorithms (ODSA 2000). Discrete Appl. Math. 138 (2004), no. 1-2, 99-106. [Annotated scanned copies of four pages only from preprint of paper]] <a href="https://doi.org/10.1016/S0166-218X(03)00273-7">10.1016/S0166-218X(03)00273-7</a>
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