Information on Result #710914
Linear OA(550, 646, F5, 14) (dual of [646, 596, 15]-code), using construction XX applied to C1 = C([621,8]), C2 = C([1,10]), C3 = C1 + C2 = C([1,8]), and C∩ = C1 ∩ C2 = C([621,10]) based on
- linear OA(541, 624, F5, 12) (dual of [624, 583, 13]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−3,−2,…,8}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(532, 624, F5, 10) (dual of [624, 592, 11]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(545, 624, F5, 14) (dual of [624, 579, 15]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−3,−2,…,10}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(528, 624, F5, 8) (dual of [624, 596, 9]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(54, 17, F5, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,5)), using
- 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.