Information on Result #2248886
Linear OA(857, 62, F8, 48) (dual of [62, 5, 49]-code), using 3 times truncation based on linear OA(860, 65, F8, 51) (dual of [65, 5, 52]-code), using
- construction X applied to AG(F,12P) ⊂ AG(F,13P) [i] based on
- linear OA(860, 64, F8, 51) (dual of [64, 4, 52]-code), using algebraic-geometric code AG(F,12P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F8 [i]
- linear OA(859, 64, F8, 50) (dual of [64, 5, 51]-code), using algebraic-geometric code AG(F,13P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.
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(8119, 124, F8, 97) (dual of [124, 5, 98]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(8129, 134, F8, 104) (dual of [134, 5, 105]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(8139, 144, F8, 112) (dual of [144, 5, 113]-code) | [i] | ||
| 4 | Linear OA(8127, 132, F8, 104) (dual of [132, 5, 105]-code) | [i] | ||
| 5 | Linear OA(8173, 178, F8, 144) (dual of [178, 5, 145]-code) | [i] | ||
| 6 | Linear OOA(857, 31, F8, 2, 48) (dual of [(31, 2), 5, 49]-NRT-code) | [i] | OOA Folding | |