Information on Result #609919

Linear OA(87, 10, F8, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using Denniston code D(1,8)

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(847, 522, F8, 15) (dual of [522, 475, 16]-code) [i](u, u+v)-Construction
2Linear OA(865, 8204, F8, 15) (dual of [8204, 8139, 16]-code) [i]
3Linear OA(873, 32778, F8, 15) (dual of [32778, 32705, 16]-code) [i]
4Linear OA(899, 2097162, F8, 15) (dual of [2097162, 2097063, 16]-code) [i]
5Linear OA(844, 522, F8, 14) (dual of [522, 478, 15]-code) [i]
6Linear OA(868, 32778, F8, 14) (dual of [32778, 32710, 15]-code) [i]
7Linear OA(892, 2097162, F8, 14) (dual of [2097162, 2097070, 15]-code) [i]
8Linear OA(835, 38, F8, 31) (dual of [38, 3, 32]-code) [i]Juxtaposition
9Linear OA(261, 70, F2, 31) (dual of [70, 9, 32]-code) [i]Concatenation of Two Codes
10Linear OA(2101, 110, F2, 47) (dual of [110, 9, 48]-code) [i]
11Linear OOA(251, 30, F2, 2, 31) (dual of [(30, 2), 9, 32]-NRT-code) [i]Concatenation of Two NRT-Codes
12Linear OOA(291, 50, F2, 2, 55) (dual of [(50, 2), 9, 56]-NRT-code) [i]
13Linear OOA(281, 30, F2, 3, 55) (dual of [(30, 3), 9, 56]-NRT-code) [i]
14Linear OOA(2111, 40, F2, 3, 71) (dual of [(40, 3), 9, 72]-NRT-code) [i]
15Linear OOA(2141, 50, F2, 3, 95) (dual of [(50, 3), 9, 96]-NRT-code) [i]
16Linear OOA(2111, 30, F2, 4, 79) (dual of [(30, 4), 9, 80]-NRT-code) [i]
17Linear OOA(2191, 50, F2, 4, 135) (dual of [(50, 4), 9, 136]-NRT-code) [i]
18Linear OA(8118, 32789, F8, 23) (dual of [32789, 32671, 24]-code) [i](u, u−v, u+v+w)-Construction
19Linear OA(8119, 32791, F8, 23) (dual of [32791, 32672, 24]-code) [i]
20Linear OA(8158, 2097173, F8, 23) (dual of [2097173, 2097015, 24]-code) [i]
21Linear OA(8159, 2097175, F8, 23) (dual of [2097175, 2097016, 24]-code) [i]
22Linear OA(8113, 32788, F8, 22) (dual of [32788, 32675, 23]-code) [i]
23Linear OA(8114, 32790, F8, 22) (dual of [32790, 32676, 23]-code) [i]
24Linear OA(8151, 2097172, F8, 22) (dual of [2097172, 2097021, 23]-code) [i]
25Linear OA(8152, 2097174, F8, 22) (dual of [2097174, 2097022, 23]-code) [i]
26Linear OA(8108, 32790, F8, 21) (dual of [32790, 32682, 22]-code) [i]
27Linear OA(8144, 2097174, F8, 21) (dual of [2097174, 2097030, 22]-code) [i]
28Linear OA(878, 32787, F8, 15) (dual of [32787, 32709, 16]-code) [i]
29Linear OA(8104, 2097171, F8, 15) (dual of [2097171, 2097067, 16]-code) [i]
30Linear OA(872, 32787, F8, 14) (dual of [32787, 32715, 15]-code) [i]
31Linear OA(896, 2097171, F8, 14) (dual of [2097171, 2097075, 15]-code) [i]
32Linear OA(812, 29, F8, 7) (dual of [29, 17, 8]-code) [i]
33Linear OA(873, 83, F8, 53) (dual of [83, 10, 54]-code) [i]Construction X with Cyclic Codes
34Linear OA(887, 97, F8, 61) (dual of [97, 10, 62]-code) [i]Construction XX with Cyclic Codes
35Linear OA(882, 92, F8, 57) (dual of [92, 10, 58]-code) [i]
36Linear OA(871, 82, F8, 51) (dual of [82, 11, 52]-code) [i]
37Linear OA(877, 83, F8, 63) (dual of [83, 6, 64]-code) [i]Construction X with De Boer–Brouwer Codes
38Linear OA(8113, 126, F8, 81) (dual of [126, 13, 82]-code) [i]Construction X with VarÅ¡amov Bound
39Linear OA(8114, 127, F8, 82) (dual of [127, 13, 83]-code) [i]
40Linear OA(8118, 131, F8, 85) (dual of [131, 13, 86]-code) [i]
41Linear OA(8125, 136, F8, 92) (dual of [136, 11, 93]-code) [i]
42Linear OA(8126, 138, F8, 92) (dual of [138, 12, 93]-code) [i]
43Linear OA(871, 75, F8, 63) (dual of [75, 4, 64]-code) [i]Construction X with Ovoid