Information on Result #711324
Linear OA(591, 654, F5, 26) (dual of [654, 563, 27]-code), using construction XX applied to C1 = C([143,166]), C2 = C([141,159]), C3 = C1 + C2 = C([143,159]), and C∩ = C1 ∩ C2 = C([141,166]) based on
- linear OA(577, 624, F5, 24) (dual of [624, 547, 25]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {143,144,…,166}, and designed minimum distance d ≥ |I|+1 = 25 [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(557, 624, F5, 17) (dual of [624, 567, 18]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {143,144,…,159}, and designed minimum distance d ≥ |I|+1 = 18 [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, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [i]
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.