Information on Result #712171
Linear OA(5137, 654, F5, 41) (dual of [654, 517, 42]-code), using construction XX applied to C1 = C([128,166]), C2 = C([126,159]), C3 = C1 + C2 = C([128,159]), and C∩ = C1 ∩ C2 = C([126,166]) based on
- linear OA(5123, 624, F5, 39) (dual of [624, 501, 40]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {128,129,…,166}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- 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(5127, 624, F5, 41) (dual of [624, 497, 42]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {126,127,…,166}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(5103, 624, F5, 32) (dual of [624, 521, 33]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {128,129,…,159}, and designed minimum distance d ≥ |I|+1 = 33 [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.