Information on Result #641484
Linear OA(877, 81, F8, 66) (dual of [81, 4, 67]-code), using juxtaposition based on
- linear OA(812, 16, F8, 10) (dual of [16, 4, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(812, 17, F8, 10) (dual of [17, 5, 11]-code), using
- extended algebraic-geometric code AGe(F,6P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OA(812, 17, F8, 10) (dual of [17, 5, 11]-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 OOA(877, 27, F8, 3, 66) (dual of [(27, 3), 4, 67]-NRT-code) | [i] | OOA Folding | |