Information on Result #705622
Linear OA(3223, 763, F3, 55) (dual of [763, 540, 56]-code), using construction XX applied to C1 = C([722,46]), C2 = C([0,48]), C3 = C1 + C2 = C([0,46]), and C∩ = C1 ∩ C2 = C([722,48]) based on
- linear OA(3208, 728, F3, 53) (dual of [728, 520, 54]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−6,−5,…,46}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(3190, 728, F3, 49) (dual of [728, 538, 50]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,48], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(3214, 728, F3, 55) (dual of [728, 514, 56]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−6,−5,…,48}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(3184, 728, F3, 47) (dual of [728, 544, 48]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,46], and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- linear OA(31, 7, F3, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.