Information on Result #661645

Linear OA(8136, 140, F8, 119) (dual of [140, 4, 120]-code), using juxtaposition based on
  1. linear OA(861, 65, F8, 55) (dual of [65, 4, 56]-code), using
    • projective code from ovoid in PG(3, 8) [i]
    • the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,27], and minimum distance d ≥ |{−27,−26,…,27}|+1 = 56 (BCH-bound) [i]
  2. linear OA(871, 75, F8, 63) (dual of [75, 4, 64]-code), 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(8136, 140, F8, 118) (dual of [140, 4, 119]-code) [i]Strength Reduction
2Linear OA(8136, 140, F8, 117) (dual of [140, 4, 118]-code) [i]
3Linear OA(8136, 140, F8, 116) (dual of [140, 4, 117]-code) [i]
4Linear OA(8136, 140, F8, 115) (dual of [140, 4, 116]-code) [i]
5Linear OA(8136, 140, F8, 114) (dual of [140, 4, 115]-code) [i]
6Linear OA(8137, 141, F8, 119) (dual of [141, 4, 120]-code) [i]Code Embedding in Larger Space
7Linear OA(8128, 132, F8, 111) (dual of [132, 4, 112]-code) [i]Truncation
8Linear OA(8127, 131, F8, 110) (dual of [131, 4, 111]-code) [i]
9Linear OA(8125, 129, F8, 108) (dual of [129, 4, 109]-code) [i]
10Linear OA(8123, 127, F8, 106) (dual of [127, 4, 107]-code) [i]
11Linear OA(8121, 125, F8, 104) (dual of [125, 4, 105]-code) [i]
12Linear OA(8119, 123, F8, 102) (dual of [123, 4, 103]-code) [i]
13Linear OA(8117, 121, F8, 100) (dual of [121, 4, 101]-code) [i]
14Linear OA(8115, 119, F8, 98) (dual of [119, 4, 99]-code) [i]
15Linear OA(8113, 117, F8, 96) (dual of [117, 4, 97]-code) [i]
16Linear OA(8111, 115, F8, 94) (dual of [115, 4, 95]-code) [i]
17Linear OA(8109, 113, F8, 92) (dual of [113, 4, 93]-code) [i]
18Linear OA(8107, 111, F8, 90) (dual of [111, 4, 91]-code) [i]
19Linear OA(8151, 155, F8, 130) (dual of [155, 4, 131]-code) [i]Juxtaposition
20Linear OA(8152, 156, F8, 131) (dual of [156, 4, 132]-code) [i]
21Linear OA(8156, 160, F8, 134) (dual of [160, 4, 135]-code) [i]
22Linear OA(8159, 163, F8, 137) (dual of [163, 4, 138]-code) [i]
23Linear OA(8160, 164, F8, 138) (dual of [164, 4, 139]-code) [i]
24Linear OA(8161, 165, F8, 139) (dual of [165, 4, 140]-code) [i]
25Linear OOA(8136, 70, F8, 2, 119) (dual of [(70, 2), 4, 120]-NRT-code) [i]OOA Folding