Information on Result #690929
Linear OA(977, 114, F9, 40) (dual of [114, 37, 41]-code), using construction XX applied to C([0,36]) ⊂ C([0,27]) ⊂ C([1,27]) based on
- 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(955, 91, F9, 30) (dual of [91, 36, 31]-code), using the expurgated narrow-sense BCH-code C(I) with length 91 | 93−1, defining interval I = [0,27], and minimum distance d ≥ |{−2,−1,…,27}|+1 = 31 (BCH-bound) [i]
- linear OA(954, 91, F9, 27) (dual of [91, 37, 28]-code), using the narrow-sense BCH-code C(I) with length 91 | 93−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- linear OA(92, 3, F9, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,9)), using
- dual of repetition code with length 3 [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.