Information on Result #705402
Linear OA(3223, 791, F3, 51) (dual of [791, 568, 52]-code), using construction XX applied to C1 = C([318,363]), C2 = C([325,368]), C3 = C1 + C2 = C([325,363]), and C∩ = C1 ∩ C2 = C([318,368]) based on
- linear OA(3183, 728, F3, 46) (dual of [728, 545, 47]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {318,319,…,363}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(3172, 728, F3, 44) (dual of [728, 556, 45]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {325,326,…,368}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(3202, 728, F3, 51) (dual of [728, 526, 52]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {318,319,…,368}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(3153, 728, F3, 39) (dual of [728, 575, 40]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {325,326,…,363}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(314, 37, F3, 6) (dual of [37, 23, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-code), using
- linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
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.