Information on Result #709222
Linear OA(4215, 1057, F4, 55) (dual of [1057, 842, 56]-code), using construction XX applied to C1 = C([1018,46]), C2 = C([0,49]), C3 = C1 + C2 = C([0,46]), and C∩ = C1 ∩ C2 = C([1018,49]) based on
- linear OA(4196, 1023, F4, 52) (dual of [1023, 827, 53]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,46}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(4186, 1023, F4, 50) (dual of [1023, 837, 51]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,49], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(4206, 1023, F4, 55) (dual of [1023, 817, 56]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,49}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(4176, 1023, F4, 47) (dual of [1023, 847, 48]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,46], and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
- linear OA(43, 13, F4, 2) (dual of [13, 10, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-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.