Information on Result #681381
Linear OA(480, 274, F4, 25) (dual of [274, 194, 26]-code), using construction XX applied to C([0,12]) ⊂ C([0,10]) ⊂ C([0,9]) based on
- linear OA(473, 257, F4, 25) (dual of [257, 184, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(465, 257, F4, 21) (dual of [257, 192, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(457, 257, F4, 19) (dual of [257, 200, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(44, 14, F4, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,4)), using
- linear OA(41, 3, F4, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- Reed–Solomon code RS(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-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.