Information on Result #1303907
Linear OA(4256, 1048650, F4, 32) (dual of [1048650, 1048394, 33]-code), using construction X applied to C([0,16]) ⊂ C([0,12]) based on
- linear OA(4241, 1048577, F4, 33) (dual of [1048577, 1048336, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(4181, 1048577, F4, 25) (dual of [1048577, 1048396, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(415, 73, F4, 6) (dual of [73, 58, 7]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(413, 70, F4, 6) (dual of [70, 57, 7]-code), using
- linear OA(413, 71, F4, 4) (dual of [71, 58, 5]-code), using Gilbert–Varšamov bound and bm = 413 > Vbs−1(k−1) = 1 499926 [i]
- linear OA(41, 2, F4, 1) (dual of [2, 1, 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 with Varšamov bound [i] based on
Mode: 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.