Information on Result #685246
Linear OA(767, 376, F7, 21) (dual of [376, 309, 22]-code), using construction XX applied to C([0,10]) ⊂ C([0,7]) ⊂ C([0,5]) based on
- linear OA(755, 344, F7, 21) (dual of [344, 289, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(737, 344, F7, 15) (dual of [344, 307, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(731, 344, F7, 11) (dual of [344, 313, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(77, 27, F7, 5) (dual of [27, 20, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- linear OA(73, 5, F7, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,7) or 5-cap in PG(2,7)), using
- discarding factors / shortening the dual code based on linear OA(73, 7, F7, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,7) or 7-cap in PG(2,7)), using
- Reed–Solomon code RS(4,7) [i]
- discarding factors / shortening the dual code based on linear OA(73, 7, F7, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,7) or 7-cap in PG(2,7)), 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.