Revision History for A209334
(Underlined text is an addition;
strikethrough text is a deletion.)
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Showing entries 11-20
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#15 by Alois P. Heinz at Fri Oct 23 11:20:12 EDT 2020
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| DATA
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1, 3, 3, 1, 3, 6, 4, 1, 3, 6, 10, 5, 1, 3, 7, 1, 1, 2, 1, 3, 3, 1, 3, 6, 4, 1, 3, 6, 10, 5, 1, 3, 7, 11, 15, 6, 1, 3, 7, 14, 17, 21, 7, 1, 3, 7, 14, 22, 25, 28, 8, 1, 3, 7, 15, 26, 33, 36, 36, 9, 1, 3, 7, 15, 30, 42, 48, 48, 45, 10, 1, 3, 7, 15, 30, 52, 66, 69, 63, 55, 11, 1, 3, 7, 15, 30, 54, 90, 103, 95, 82, 66, 12
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approved
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#14 by Alois P. Heinz at Fri Oct 23 11:19:39 EDT 2020
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#13 by Michel Marcus at Fri Oct 23 04:40:19 EDT 2020
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Discussion
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| Fri Oct 23
| 11:19
| Alois P. Heinz: thanks ...
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#12 by Michel Marcus at Fri Oct 23 04:39:32 EDT 2020
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| EXAMPLE
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Triangle begins:
1
1 2
1 3 3
1 3 6 4
1 3 6 10 5
1 3 7 11 15 6
1 3 7 14 17 21 7
1 3 7 14 22 25 28 8
1 3 7 15 26 33 36 36 9
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Discussion
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| Fri Oct 23
| 04:40
| Michel Marcus: If accepted, I will add a b-file with 15 rows (see arxiv)
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#11 by Michel Marcus at Fri Oct 23 04:38:54 EDT 2020
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| DATA
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1, 3, 3, 1, 3, 6, 4, 1, 3, 6, 10, 5, 1, 3, 7, 1, 1, 2, 1, 3, 3, 1, 3, 6, 4, 1, 3, 6, 10, 5, 1, 3, 7, 11, 15, 6, 1, 3, 7, 14, 17, 21, 7, 1, 3, 7, 14, 22, 25, 28, 8, 1, 3, 7, 15, 26, 33, 36, 36, 9, 1, 3, 7, 15, 30, 42, 48, 48, 45, 10, 1, 3, 7, 15, 30, 52, 66, 69, 63, 55, 11, 1, 3, 7, 15, 30, 54, 90, 103, 95, 82, 66, 12
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| EXAMPLE
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Table 2, p. 5, M(n, k) for 3 <= n <= 15 and k <= 13 begins:
=================================================
n/k...|.k=1.|.k=2.|.k=3.|.k=4.|.k=5.|.k=6.|.k=7.|
n=3...|..1..|..3..|..3..|.....|.....|.....|.....|
n=4...|..1..|..3..|..6..|..4..|.....|.....|.....|
n=5...|..1..|..3..|..6..|.10..|..5..|.....|.....|
n=6...|..1..|..3..|..7..|11-14|.15..|..6..|.....|
n=7...|..1..|..3..|..7..|.14..|17-30|.21..|..7..|
=================================================
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| KEYWORD
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nonn,tabl,more,changed
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| EXTENSIONS
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Rows 1 and 2 inserted, and more rows added by Michel Marcus, Oct 23 2020 from dela Cruz and Kurz article
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approved
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#10 by N. J. A. Sloane at Fri Oct 23 02:46:35 EDT 2020
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#9 by Michel Marcus at Wed Oct 21 23:24:34 EDT 2020
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#8 by Michel Marcus at Wed Oct 21 23:21:27 EDT 2020
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| COMMENTS
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Table 2, p. 5, M(n, k) for 3 <= n <= 15 and k <= 13 begins:
=================================================
n/k...|.k=1.|.k=2.|.k=3.|.k=4.|.k=5.|.k=6.|.k=7.|
n=3...|..1..|..3..|..3..|.....|.....|.....|.....|
n=4...|..1..|..3..|..6..|..4..|.....|.....|.....|
n=5...|..1..|..3..|..6..|.10..|..5..|.....|.....|
n=6...|..1..|..3..|..7..|11-14|.15..|..6..|.....|
n=7...|..1..|..3..|..7..|.14..|17-30|.21..|..7..|
=================================================
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| REFERENCES
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N. J. A. Sloane, Covering Arrays and Intersecting Codes, J. Combinatorial Designs, 1 (1993), 51-63.
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| LINKS
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Romar dela Cruz and Sascha Kurz, <a href="https://arxiv.org/abs/2010.10762">On the maximum number of minimal codewords</a>, arXiv:2010.10762 [cs.IT], 2020. See Table 1 p. 12.
N. J. A. Sloane, <a href="http://neilsloane.com/doc/Me179.pdf">Covering Arrays and Intersecting Codes</a>, J. Combinatorial Designs, 1 (1993), 51-63.
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| EXAMPLE
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Table 2, p. 5, M(n, k) for 3 <= n <= 15 and k <= 13 begins:
=================================================
n/k...|.k=1.|.k=2.|.k=3.|.k=4.|.k=5.|.k=6.|.k=7.|
n=3...|..1..|..3..|..3..|.....|.....|.....|.....|
n=4...|..1..|..3..|..6..|..4..|.....|.....|.....|
n=5...|..1..|..3..|..6..|.10..|..5..|.....|.....|
n=6...|..1..|..3..|..7..|11-14|.15..|..6..|.....|
n=7...|..1..|..3..|..7..|.14..|17-30|.21..|..7..|
=================================================
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| KEYWORD
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nonn,tabl,more
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| STATUS
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approved
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Discussion
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| Wed Oct 21
| 23:22
| Michel Marcus: is this the right sequence for arXiv:2010.10762 ?
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| 23:23
| Michel Marcus: row n=1 & 2 are currently missing here
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| 23:24
| Michel Marcus: ok to use Cruz and Kurz table to enter data here ?
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#7 by Jon E. Schoenfield at Tue Feb 11 07:50:55 EST 2020
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#6 by Jon E. Schoenfield at Tue Feb 11 07:50:46 EST 2020
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| COMMENTS
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Table 2, p.. 5, M(n, k) for 3 <= n <= 15 and k <= 13 begins:
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| LINKS
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A. Alahmadi, R. E. L. Aldred, R. dela Cruz, P. Solé, C. Thomassen, <a href="http://arxiv.org/abs/1203.0728">The maximum number of minimal codewords in an [n,k]-code</a>, arXiv:1203.0728v1 [cs.IT], Mar 4, 2012.
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approved
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