Information on Result #690923
Linear OA(9102, 112, F9, 73) (dual of [112, 10, 74]-code), using construction XX applied to C([0,56]) ⊂ C([0,47]) ⊂ C([0,46]) based on
- linear OA(988, 91, F9, 80) (dual of [91, 3, 81]-code), using the expurgated narrow-sense BCH-code C(I) with length 91 | 93−1, defining interval I = [0,56], and minimum distance d ≥ |{−23,−22,…,56}|+1 = 81 (BCH-bound) [i]
- linear OA(982, 91, F9, 61) (dual of [91, 9, 62]-code), using the expurgated narrow-sense BCH-code C(I) with length 91 | 93−1, defining interval I = [0,47], and minimum distance d ≥ |{−13,−12,…,47}|+1 = 62 (BCH-bound) [i]
- linear OA(979, 91, F9, 60) (dual of [91, 12, 61]-code), using the expurgated narrow-sense BCH-code C(I) with length 91 | 93−1, defining interval I = [0,46], and minimum distance d ≥ |{−13,−12,…,46}|+1 = 61 (BCH-bound) [i]
- linear OA(913, 20, F9, 11) (dual of [20, 7, 12]-code), using
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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.