Information on Result #622120

Linear OA(85, 14, F8, 4) (dual of [14, 9, 5]-code), using extended algebraic-geometric code AGe(F,9P) based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using

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(827, 526, F8, 9) (dual of [526, 499, 10]-code) [i](u, u+v)-Construction
2Linear OA(841, 32782, F8, 9) (dual of [32782, 32741, 10]-code) [i]
3Linear OA(848, 262158, F8, 9) (dual of [262158, 262110, 10]-code) [i]
4Linear OA(855, 2097166, F8, 9) (dual of [2097166, 2097111, 10]-code) [i]
5Linear OA(870, 79, F8, 51) (dual of [79, 9, 52]-code) [i]Juxtaposition
6Linear OA(869, 77, F8, 51) (dual of [77, 8, 52]-code) [i]
7Linear OA(878, 85, F8, 59) (dual of [85, 7, 60]-code) [i]
8Linear OA(888, 94, F8, 68) (dual of [94, 6, 69]-code) [i]
9Linear OA(8122, 128, F8, 100) (dual of [128, 6, 101]-code) [i]
10Linear OA(8135, 143, F8, 104) (dual of [143, 8, 105]-code) [i]
11Linear OA(8135, 142, F8, 107) (dual of [142, 7, 108]-code) [i]
12Linear OA(8126, 4111, F8, 34) (dual of [4111, 3985, 35]-code) [i]Construction X with Cyclic Codes
13Linear OA(8118, 4111, F8, 32) (dual of [4111, 3993, 33]-code) [i]
14Linear OA(8138, 527, F8, 50) (dual of [527, 389, 51]-code) [i]
15Linear OA(8132, 527, F8, 48) (dual of [527, 395, 49]-code) [i]
16Linear OA(896, 527, F8, 34) (dual of [527, 431, 35]-code) [i]
17Linear OA(890, 527, F8, 32) (dual of [527, 437, 33]-code) [i]
18Linear OA(854, 527, F8, 18) (dual of [527, 473, 19]-code) [i]
19Linear OA(848, 527, F8, 16) (dual of [527, 479, 17]-code) [i]
20Linear OA(845, 81, F8, 24) (dual of [81, 36, 25]-code) [i]Construction XX with Cyclic Codes
21Linear OA(844, 79, F8, 24) (dual of [79, 35, 25]-code) [i]
22Linear OA(830, 528, F8, 10) (dual of [528, 498, 11]-code) [i]
23Linear OA(833, 528, F8, 11) (dual of [528, 495, 12]-code) [i]
24Linear OA(836, 528, F8, 12) (dual of [528, 492, 13]-code) [i]
25Linear OA(837, 532, F8, 12) (dual of [532, 495, 13]-code) [i]
26Linear OA(840, 532, F8, 13) (dual of [532, 492, 14]-code) [i]
27Linear OA(851, 528, F8, 18) (dual of [528, 477, 19]-code) [i]
28Linear OA(854, 528, F8, 19) (dual of [528, 474, 20]-code) [i]
29Linear OA(857, 528, F8, 20) (dual of [528, 471, 21]-code) [i]
30Linear OA(873, 548, F8, 23) (dual of [548, 475, 24]-code) [i]
31Linear OA(872, 528, F8, 26) (dual of [528, 456, 27]-code) [i]
32Linear OA(875, 528, F8, 27) (dual of [528, 453, 28]-code) [i]
33Linear OA(878, 528, F8, 28) (dual of [528, 450, 29]-code) [i]
34Linear OA(893, 528, F8, 34) (dual of [528, 435, 35]-code) [i]
35Linear OA(896, 528, F8, 35) (dual of [528, 432, 36]-code) [i]
36Linear OA(899, 528, F8, 36) (dual of [528, 429, 37]-code) [i]
37Linear OA(8114, 528, F8, 42) (dual of [528, 414, 43]-code) [i]
38Linear OA(8117, 528, F8, 43) (dual of [528, 411, 44]-code) [i]
39Linear OA(8120, 528, F8, 44) (dual of [528, 408, 45]-code) [i]
40Linear OA(8135, 528, F8, 50) (dual of [528, 393, 51]-code) [i]
41Linear OA(8138, 528, F8, 51) (dual of [528, 390, 52]-code) [i]
42Linear OA(8141, 528, F8, 52) (dual of [528, 387, 53]-code) [i]
43Linear OA(8156, 528, F8, 58) (dual of [528, 372, 59]-code) [i]
44Linear OA(8159, 528, F8, 59) (dual of [528, 369, 60]-code) [i]
45Linear OA(8162, 528, F8, 60) (dual of [528, 366, 61]-code) [i]
46Linear OA(833, 75, F8, 18) (dual of [75, 42, 19]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
47Linear OA(844, 78, F8, 24) (dual of [78, 34, 25]-code) [i]
48Linear OA(854, 79, F8, 33) (dual of [79, 25, 34]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
49Linear OA(845, 79, F8, 25) (dual of [79, 34, 26]-code) [i]