Information on Result #641491
Linear OA(8146, 150, F8, 125) (dual of [150, 4, 126]-code), using juxtaposition based on
- linear OA(816, 20, F8, 13) (dual of [20, 4, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(816, 23, F8, 13) (dual of [23, 7, 14]-code), using
- algebraic-geometric code AG(F,9P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- algebraic-geometric code AG(F,9P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(816, 23, F8, 13) (dual of [23, 7, 14]-code), using
- linear OA(8126, 130, F8, 111) (dual of [130, 4, 112]-code), using
- repeating each code word 2 times [i] based on 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]
- repeating each code word 2 times [i] based on linear OA(861, 65, F8, 55) (dual of [65, 4, 56]-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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8146, 150, F8, 124) (dual of [150, 4, 125]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8146, 150, F8, 123) (dual of [150, 4, 124]-code) | [i] | ||
| 3 | Linear OOA(8146, 50, F8, 3, 125) (dual of [(50, 3), 4, 126]-NRT-code) | [i] | OOA Folding | |