Information on Result #680427
Linear OA(448, 1045, F4, 11) (dual of [1045, 997, 12]-code), using construction XX applied to C([0,5]) ⊂ C([0,4]) ⊂ C([0,2]) based on
- linear OA(441, 1025, F4, 11) (dual of [1025, 984, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(431, 1025, F4, 9) (dual of [1025, 994, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(421, 1025, F4, 5) (dual of [1025, 1004, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,2], and minimum distance d ≥ |{−4,−2,0,2,4}|+1 = 6 (BCH-bound) [i]
- linear OA(41, 14, F4, 1) (dual of [14, 13, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), 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.