Information on Result #658883
Linear OA(881, 91, F8, 56) (dual of [91, 10, 57]-code), using construction XX applied to AG(F,0P) ⊂ AG(F,20P) ⊂ AG(F,23P) based on
- linear OA(863, 64, F8, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,8)), using algebraic-geometric code AG(F,0P) [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(856, 64, F8, 43) (dual of [64, 8, 44]-code), using algebraic-geometric code AG(F,20P) 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(815, 24, F8, 12) (dual of [24, 9, 13]-code), using
- extended algebraic-geometric code AGe(F,11P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric code AGe(F,11P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- Reed–Solomon code RS(7,8) [i]
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-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.