Information on Result #641469
Linear OA(873, 77, F8, 63) (dual of [77, 4, 64]-code), using juxtaposition based on
- linear OA(88, 12, F8, 7) (dual of [12, 4, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(88, 14, F8, 7) (dual of [14, 6, 8]-code), using
- extended algebraic-geometric code AGe(F,6P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OA(88, 14, F8, 7) (dual of [14, 6, 8]-code), using
- 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]
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(873, 77, F8, 62) (dual of [77, 4, 63]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(885, 89, F8, 71) (dual of [89, 4, 72]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(886, 90, F8, 72) (dual of [90, 4, 73]-code) | [i] | ||