Information on Result #690027
Linear OA(991, 778, F9, 27) (dual of [778, 687, 28]-code), using construction X applied to C([0,13]) ⊂ C([0,7]) based on
- linear OA(973, 730, F9, 27) (dual of [730, 657, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(943, 730, F9, 15) (dual of [730, 687, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(918, 48, F9, 11) (dual of [48, 30, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(918, 80, F9, 11) (dual of [80, 62, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(918, 80, F9, 11) (dual of [80, 62, 12]-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.
Other Results with Identical Parameters
None.
Depending Results
None.