Information on Result #711843
Linear OA(5121, 654, F5, 36) (dual of [654, 533, 37]-code), using construction XX applied to C1 = C([126,159]), C2 = C([133,161]), C3 = C1 + C2 = C([133,159]), and C∩ = C1 ∩ C2 = C([126,161]) based on
- linear OA(5107, 624, F5, 34) (dual of [624, 517, 35]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {126,127,…,159}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(593, 624, F5, 29) (dual of [624, 531, 30]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {133,134,…,161}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(5111, 624, F5, 36) (dual of [624, 513, 37]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {126,127,…,161}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(589, 624, F5, 27) (dual of [624, 535, 28]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {133,134,…,159}, and designed minimum distance d ≥ |I|+1 = 28 [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.