Information on Result #658778
Linear OA(860, 71, F8, 45) (dual of [71, 11, 46]-code), using construction X applied to AG(F,18P) ⊂ AG(F,23P) based on
- linear OA(857, 64, F8, 45) (dual of [64, 7, 46]-code), using algebraic-geometric code AG(F,18P) 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(853, 64, F8, 41) (dual of [64, 11, 42]-code), using algebraic-geometric code AG(F,23P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(83, 7, F8, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,8) or 7-cap in PG(2,8)), using
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), using
- Reed–Solomon code RS(5,8) [i]
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), 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(859, 70, F8, 44) (dual of [70, 11, 45]-code) | [i] | Truncation | |
| 2 | Linear OA(858, 69, F8, 43) (dual of [69, 11, 44]-code) | [i] | ||
| 3 | Linear OOA(860, 35, F8, 2, 45) (dual of [(35, 2), 10, 46]-NRT-code) | [i] | OOA Folding | |