Information on Result #622963

Linear OA(2713, 38, F27, 12) (dual of [38, 25, 13]-code), using extended algebraic-geometric code AGe(F,25P) based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(2762, 768, F27, 25) (dual of [768, 706, 26]-code) [i](u, u+v)-Construction
2Linear OA(2786, 19722, F27, 25) (dual of [19722, 19636, 26]-code) [i]
3Linear OA(27110, 531480, F27, 25) (dual of [531480, 531370, 26]-code) [i]
4Linear OA(2760, 767, F27, 24) (dual of [767, 707, 25]-code) [i]
5Linear OA(2783, 19721, F27, 24) (dual of [19721, 19638, 25]-code) [i]
6Linear OA(27106, 531479, F27, 24) (dual of [531479, 531373, 25]-code) [i]
7Linear OA(377, 152, F3, 25) (dual of [152, 75, 26]-code) [i]Concatenation of Two Codes
8Linear OA(376, 148, F3, 25) (dual of [148, 72, 26]-code) [i]
9Linear OA(375, 144, F3, 25) (dual of [144, 69, 26]-code) [i]
10Linear OA(374, 140, F3, 25) (dual of [140, 66, 26]-code) [i]
11Linear OA(373, 136, F3, 25) (dual of [136, 63, 26]-code) [i]
12Linear OA(372, 132, F3, 25) (dual of [132, 60, 26]-code) [i]
13Linear OA(371, 128, F3, 25) (dual of [128, 57, 26]-code) [i]
14Linear OA(370, 124, F3, 25) (dual of [124, 54, 26]-code) [i]
15Linear OA(369, 120, F3, 25) (dual of [120, 51, 26]-code) [i]
16Linear OA(27105, 805, F27, 38) (dual of [805, 700, 39]-code) [i](u, u−v, u+v+w)-Construction
17Linear OA(27106, 815, F27, 38) (dual of [815, 709, 39]-code) [i]
18Linear OA(27102, 805, F27, 37) (dual of [805, 703, 38]-code) [i]
19Linear OA(27103, 815, F27, 37) (dual of [815, 712, 38]-code) [i]
20Linear OA(27100, 805, F27, 36) (dual of [805, 705, 37]-code) [i]
21Linear OA(27101, 815, F27, 36) (dual of [815, 714, 37]-code) [i]
22Linear OA(2770, 796, F27, 25) (dual of [796, 726, 26]-code) [i]
23Linear OA(2771, 806, F27, 25) (dual of [806, 735, 26]-code) [i]
24Linear OA(2794, 19750, F27, 25) (dual of [19750, 19656, 26]-code) [i]
25Linear OA(2795, 19760, F27, 25) (dual of [19760, 19665, 26]-code) [i]
26Linear OA(2768, 795, F27, 24) (dual of [795, 727, 25]-code) [i]
27Linear OA(2791, 19749, F27, 24) (dual of [19749, 19658, 25]-code) [i]
28Linear OA(2792, 19759, F27, 24) (dual of [19759, 19667, 25]-code) [i]
29Linear OA(27110, 768, F27, 48) (dual of [768, 658, 49]-code) [i]Construction X with Cyclic Codes
30Linear OA(27106, 768, F27, 46) (dual of [768, 662, 47]-code) [i]
31Linear OA(27102, 768, F27, 44) (dual of [768, 666, 45]-code) [i]
32Linear OA(2798, 768, F27, 42) (dual of [768, 670, 43]-code) [i]
33Linear OA(2794, 768, F27, 40) (dual of [768, 674, 41]-code) [i]
34Linear OA(2790, 768, F27, 38) (dual of [768, 678, 39]-code) [i]
35Linear OA(2786, 768, F27, 36) (dual of [768, 682, 37]-code) [i]
36Linear OA(2782, 768, F27, 34) (dual of [768, 686, 35]-code) [i]
37Linear OA(2787, 765, F27, 39) (dual of [765, 678, 40]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
38Linear OA(2785, 765, F27, 38) (dual of [765, 680, 39]-code) [i]
39Linear OA(2783, 765, F27, 37) (dual of [765, 682, 38]-code) [i]
40Linear OA(2781, 765, F27, 36) (dual of [765, 684, 37]-code) [i]
41Linear OA(2779, 765, F27, 35) (dual of [765, 686, 36]-code) [i]
42Linear OA(2777, 765, F27, 34) (dual of [765, 688, 35]-code) [i]
43Linear OA(2775, 765, F27, 33) (dual of [765, 690, 34]-code) [i]
44Linear OA(2773, 765, F27, 32) (dual of [765, 692, 33]-code) [i]
45Linear OA(2771, 765, F27, 31) (dual of [765, 694, 32]-code) [i]
46Linear OA(2769, 765, F27, 30) (dual of [765, 696, 31]-code) [i]
47Linear OA(2767, 765, F27, 29) (dual of [765, 698, 30]-code) [i]
48Linear OA(2766, 766, F27, 28) (dual of [766, 700, 29]-code) [i]
49Linear OA(27109, 767, F27, 50) (dual of [767, 658, 51]-code) [i]
50Linear OA(27107, 767, F27, 49) (dual of [767, 660, 50]-code) [i]
51Linear OA(27105, 767, F27, 48) (dual of [767, 662, 49]-code) [i]
52Linear OA(27103, 767, F27, 47) (dual of [767, 664, 48]-code) [i]
53Linear OA(27101, 767, F27, 46) (dual of [767, 666, 47]-code) [i]
54Linear OA(2799, 767, F27, 45) (dual of [767, 668, 46]-code) [i]
55Linear OA(2797, 767, F27, 44) (dual of [767, 670, 45]-code) [i]
56Linear OA(2795, 767, F27, 43) (dual of [767, 672, 44]-code) [i]
57Linear OA(2793, 767, F27, 42) (dual of [767, 674, 43]-code) [i]
58Linear OA(2791, 767, F27, 41) (dual of [767, 676, 42]-code) [i]
59Linear OA(2764, 767, F27, 26) (dual of [767, 703, 27]-code) [i]