Information on Result #622995

Linear OA(2717, 48, F27, 15) (dual of [48, 31, 16]-code), using extended algebraic-geometric code AGe(F,32P) based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, 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(2775, 777, F27, 31) (dual of [777, 702, 32]-code) [i](u, u+v)-Construction
2Linear OA(27105, 19731, F27, 31) (dual of [19731, 19626, 32]-code) [i]
3Linear OA(2773, 777, F27, 30) (dual of [777, 704, 31]-code) [i]
4Linear OA(27102, 19731, F27, 30) (dual of [19731, 19629, 31]-code) [i]
5Linear OA(2775, 780, F27, 31) (dual of [780, 705, 32]-code) [i]
6Linear OA(2773, 779, F27, 30) (dual of [779, 706, 31]-code) [i]
7Linear OA(2786, 815, F27, 31) (dual of [815, 729, 32]-code) [i](u, u−v, u+v+w)-Construction
8Linear OA(27110, 778, F27, 47) (dual of [778, 668, 48]-code) [i]Construction X with Cyclic Codes
9Linear OA(27106, 778, F27, 45) (dual of [778, 672, 46]-code) [i]
10Linear OA(27102, 778, F27, 43) (dual of [778, 676, 44]-code) [i]
11Linear OA(2798, 778, F27, 41) (dual of [778, 680, 42]-code) [i]
12Linear OA(2794, 778, F27, 39) (dual of [778, 684, 40]-code) [i]
13Linear OA(2790, 778, F27, 37) (dual of [778, 688, 38]-code) [i]
14Linear OA(2797, 775, F27, 42) (dual of [775, 678, 43]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
15Linear OA(2795, 775, F27, 41) (dual of [775, 680, 42]-code) [i]
16Linear OA(2793, 775, F27, 40) (dual of [775, 682, 41]-code) [i]
17Linear OA(2791, 775, F27, 39) (dual of [775, 684, 40]-code) [i]
18Linear OA(2789, 775, F27, 38) (dual of [775, 686, 39]-code) [i]
19Linear OA(2787, 775, F27, 37) (dual of [775, 688, 38]-code) [i]
20Linear OA(2785, 775, F27, 36) (dual of [775, 690, 37]-code) [i]
21Linear OA(2783, 775, F27, 35) (dual of [775, 692, 36]-code) [i]
22Linear OA(2781, 775, F27, 34) (dual of [775, 694, 35]-code) [i]
23Linear OA(2779, 775, F27, 33) (dual of [775, 696, 34]-code) [i]
24Linear OA(2777, 775, F27, 32) (dual of [775, 698, 33]-code) [i]
25Linear OA(27109, 777, F27, 48) (dual of [777, 668, 49]-code) [i]
26Linear OA(27107, 777, F27, 47) (dual of [777, 670, 48]-code) [i]
27Linear OA(27105, 777, F27, 46) (dual of [777, 672, 47]-code) [i]
28Linear OA(27103, 777, F27, 45) (dual of [777, 674, 46]-code) [i]
29Linear OA(27101, 777, F27, 44) (dual of [777, 676, 45]-code) [i]