Information on Result #711475
Linear OA(5102, 660, F5, 29) (dual of [660, 558, 30]-code), using construction XX applied to C1 = C([130,155]), C2 = C([136,158]), C3 = C1 + C2 = C([136,155]), and C∩ = C1 ∩ C2 = C([130,158]) 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(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(591, 624, F5, 29) (dual of [624, 533, 30]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,158}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(564, 624, F5, 20) (dual of [624, 560, 21]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {136,137,…,155}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(58, 24, F5, 5) (dual of [24, 16, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(58, 33, F5, 5) (dual of [33, 25, 6]-code), using
- linear OA(53, 12, F5, 2) (dual of [12, 9, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), 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.