Information on Result #711321
Linear OA(593, 660, F5, 26) (dual of [660, 567, 27]-code), using construction XX applied to C1 = C([144,166]), C2 = C([141,159]), C3 = C1 + C2 = C([144,159]), and C∩ = C1 ∩ C2 = C([141,166]) based on
- 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 = {144,145,…,166}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(561, 624, F5, 19) (dual of [624, 563, 20]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {141,142,…,159}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(581, 624, F5, 26) (dual of [624, 543, 27]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {141,142,…,166}, and designed minimum distance d ≥ |I|+1 = 27 [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 = {144,145,…,159}, and designed minimum distance d ≥ |I|+1 = 17 [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(53, 11, F5, 2) (dual of [11, 8, 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.