Information on Result #690928
Linear OA(975, 103, F9, 42) (dual of [103, 28, 43]-code), using construction XX applied to C([0,38]) ⊂ C([0,36]) ⊂ C([1,36]) based on
- linear OA(970, 91, F9, 42) (dual of [91, 21, 43]-code), using the expurgated narrow-sense BCH-code C(I) with length 91 | 93−1, defining interval I = [0,38], and minimum distance d ≥ |{−3,−2,…,38}|+1 = 43 (BCH-bound) [i]
- linear OA(964, 91, F9, 40) (dual of [91, 27, 41]-code), using the expurgated narrow-sense BCH-code C(I) with length 91 | 93−1, defining interval I = [0,36], and minimum distance d ≥ |{−3,−2,…,36}|+1 = 41 (BCH-bound) [i]
- linear OA(963, 91, F9, 36) (dual of [91, 28, 37]-code), using the narrow-sense BCH-code C(I) with length 91 | 93−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(91, 8, F9, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- linear OA(93, 4, F9, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,9) or 4-cap in PG(2,9)), using
- dual of repetition code with length 4 [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.