Information on Result #658805
Linear OA(862, 77, F8, 42) (dual of [77, 15, 43]-code), using construction X applied to AG(F,21P) ⊂ AG(F,28P) based on
- linear OA(855, 64, F8, 42) (dual of [64, 9, 43]-code), using algebraic-geometric code AG(F,21P) 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(849, 64, F8, 35) (dual of [64, 15, 36]-code), using algebraic-geometric code AG(F,28P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(87, 13, F8, 6) (dual of [13, 6, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 14, F8, 6) (dual of [14, 7, 7]-code), using
- extended algebraic-geometric code AGe(F,7P) [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(87, 14, F8, 6) (dual of [14, 7, 7]-code), 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
None.