Information on Result #711195
Linear OA(583, 658, F5, 23) (dual of [658, 575, 24]-code), using construction XX applied to C1 = C([136,156]), C2 = C([143,158]), C3 = C1 + C2 = C([143,156]), and C∩ = C1 ∩ C2 = C([136,158]) based on
- linear OA(565, 624, F5, 21) (dual of [624, 559, 22]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {136,137,…,156}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(553, 624, F5, 16) (dual of [624, 571, 17]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {143,144,…,158}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(573, 624, F5, 23) (dual of [624, 551, 24]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {136,137,…,158}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(545, 624, F5, 14) (dual of [624, 579, 15]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {143,144,…,156}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(59, 25, F5, 6) (dual of [25, 16, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(51, 9, F5, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 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.