Information on Result #681320
Linear OA(481, 275, F4, 25) (dual of [275, 194, 26]-code), using construction X applied to C([0,12]) ⊂ 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(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(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.