Information on Result #704537
Linear OA(3136, 782, F3, 30) (dual of [782, 646, 31]-code), using construction XX applied to C1 = C([339,363]), C2 = C([345,368]), C3 = C1 + C2 = C([345,363]), and C∩ = C1 ∩ C2 = C([339,368]) based on
- linear OA(3102, 728, F3, 25) (dual of [728, 626, 26]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,363}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(397, 728, F3, 24) (dual of [728, 631, 25]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {345,346,…,368}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3121, 728, F3, 30) (dual of [728, 607, 31]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {339,340,…,368}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(378, 728, F3, 19) (dual of [728, 650, 20]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {345,346,…,363}, and designed minimum distance d ≥ |I|+1 = 20 [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(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.