Information on Result #688732
Linear OA(864, 92, F8, 35) (dual of [92, 28, 36]-code), using construction X applied to C([0,18]) ⊂ C([0,11]) based on
- linear OA(849, 65, F8, 37) (dual of [65, 16, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(837, 65, F8, 23) (dual of [65, 28, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(815, 27, F8, 11) (dual of [27, 12, 12]-code), using
- construction X applied to AG(F,6P) ⊂ AG(F,7P) [i] based on
- linear OA(814, 24, F8, 11) (dual of [24, 10, 12]-code), using algebraic-geometric code AG(F,6P) with degPÂ =Â 2 [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using the Klein quartic over F8 [i]
- linear OA(812, 24, F8, 9) (dual of [24, 12, 10]-code), using algebraic-geometric code AG(F,7P) with degPÂ =Â 2 [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24 (see above)
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,6P) ⊂ AG(F,7P) [i] based on
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.