Information on Result #641477
Linear OA(887, 91, F8, 73) (dual of [91, 4, 74]-code), using juxtaposition based on
- linear OA(89, 13, F8, 8) (dual of [13, 4, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(89, 14, F8, 8) (dual of [14, 5, 9]-code), using
- extended algebraic-geometric code AGe(F,5P) [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(89, 14, F8, 8) (dual of [14, 5, 9]-code), using
- linear OA(874, 78, F8, 64) (dual of [78, 4, 65]-code), using
- juxtaposition [i] based on
- linear OA(89, 13, F8, 8) (dual of [13, 4, 9]-code) (see above)
- 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]
- juxtaposition [i] based on
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(887, 91, F8, 72) (dual of [91, 4, 73]-code) | [i] | Strength Reduction | |