Information on Result #711577
Linear OA(5105, 661, F5, 30) (dual of [661, 556, 31]-code), using construction XX applied to C1 = C([130,155]), C2 = C([135,159]), C3 = C1 + C2 = C([135,155]), and C∩ = C1 ∩ C2 = C([130,159]) based on
- linear OA(582, 624, F5, 26) (dual of [624, 542, 27]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,155}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(581, 624, F5, 25) (dual of [624, 543, 26]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {135,136,…,159}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(595, 624, F5, 30) (dual of [624, 529, 31]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,159}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(568, 624, F5, 21) (dual of [624, 556, 22]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {135,136,…,155}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(56, 20, F5, 4) (dual of [20, 14, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- linear OA(54, 17, F5, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,5)), 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.