Information on Result #704348
Linear OA(389, 749, F3, 21) (dual of [749, 660, 22]-code), using construction XX applied to C1 = C([345,363]), C2 = C([348,365]), C3 = C1 + C2 = C([348,363]), and C∩ = C1 ∩ C2 = C([345,365]) based on
- 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(373, 728, F3, 18) (dual of [728, 655, 19]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {348,349,…,365}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(385, 728, F3, 21) (dual of [728, 643, 22]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {345,346,…,365}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(366, 728, F3, 16) (dual of [728, 662, 17]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {348,349,…,363}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- linear OA(31, 8, F3, 1) (dual of [8, 7, 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.