Information on Result #688714
Linear OA(866, 93, F8, 36) (dual of [93, 27, 37]-code), using construction X applied to C([0,32]) ⊂ C([0,24]) based on
- linear OA(855, 73, F8, 36) (dual of [73, 18, 37]-code), using the expurgated narrow-sense BCH-code C(I) with length 73 | 83−1, defining interval I = [0,32], and minimum distance d ≥ |{−3,−2,…,32}|+1 = 37 (BCH-bound) [i]
- linear OA(846, 73, F8, 27) (dual of [73, 27, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 73 | 83−1, defining interval I = [0,24], and minimum distance d ≥ |{−2,−1,…,24}|+1 = 28 (BCH-bound) [i]
- linear OA(811, 20, F8, 8) (dual of [20, 9, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(811, 23, F8, 8) (dual of [23, 12, 9]-code), using
- algebraic-geometric code AG(F,14P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- algebraic-geometric code AG(F,14P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(811, 23, F8, 8) (dual of [23, 12, 9]-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.