Information on Result #681294
Linear OA(4121, 275, F4, 41) (dual of [275, 154, 42]-code), using construction X applied to C([0,20]) ⊂ C([0,17]) based on
- linear OA(4113, 257, F4, 41) (dual of [257, 144, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(497, 257, F4, 35) (dual of [257, 160, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(48, 18, F4, 5) (dual of [18, 10, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(48, 19, F4, 5) (dual of [19, 11, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(2) [i] based on
- linear OA(47, 16, F4, 5) (dual of [16, 9, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 15 = 42−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(45, 16, F4, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,4)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 15 = 42−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(41, 3, F4, 1) (dual of [3, 2, 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
- construction X applied to Ce(4) ⊂ Ce(2) [i] based on
- discarding factors / shortening the dual code based on linear OA(48, 19, F4, 5) (dual of [19, 11, 6]-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.