Information on Result #641488
Linear OA(880, 84, F8, 68) (dual of [84, 4, 69]-code), using juxtaposition based on
- linear OA(815, 19, F8, 12) (dual of [19, 4, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(815, 23, F8, 12) (dual of [23, 8, 13]-code), using
- algebraic-geometric code AG(F,10P) [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,10P) [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(815, 23, F8, 12) (dual of [23, 8, 13]-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(880, 42, F8, 2, 68) (dual of [(42, 2), 4, 69]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(880, 28, F8, 3, 68) (dual of [(28, 3), 4, 69]-NRT-code) | [i] | ||