Information on Result #710242
Linear OA(5101, 154, F5, 46) (dual of [154, 53, 47]-code), using construction XX applied to C1 = C([29,72]), C2 = C([26,63]), C3 = C1 + C2 = C([29,63]), and C∩ = C1 ∩ C2 = C([26,72]) based on
- linear OA(586, 124, F5, 44) (dual of [124, 38, 45]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {29,30,…,72}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(574, 124, F5, 38) (dual of [124, 50, 39]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {26,27,…,63}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(589, 124, F5, 47) (dual of [124, 35, 48]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {26,27,…,72}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(571, 124, F5, 35) (dual of [124, 53, 36]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {29,30,…,63}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(510, 25, F5, 7) (dual of [25, 15, 8]-code), using
- an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
- Reed–Solomon code RS(3,5) [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.