Information on Result #641735
Linear OA(953, 58, F9, 42) (dual of [58, 5, 43]-code), using juxtaposition based on
- linear OA(911, 16, F9, 10) (dual of [16, 5, 11]-code), using
- extended algebraic-geometric code AGe(F,5P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- linear OA(937, 42, F9, 31) (dual of [42, 5, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([1,15]) [i] based on
- linear OA(937, 41, F9, 31) (dual of [41, 4, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 41 | 94−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(936, 41, F9, 30) (dual of [41, 5, 31]-code), using the narrow-sense BCH-code C(I) with length 41 | 94−1, defining interval I = [1,15], and minimum distance d ≥ |{−17,−13,−9,…,17}|+1 = 31 (BCH-bound) [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to C([0,15]) ⊂ C([1,15]) [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.