Information on Result #712197
Linear OA(5128, 646, F5, 39) (dual of [646, 518, 40]-code), using construction XX applied to C1 = C([621,33]), C2 = C([1,35]), C3 = C1 + C2 = C([1,33]), and C∩ = C1 ∩ C2 = C([621,35]) based on
- linear OA(5119, 624, F5, 37) (dual of [624, 505, 38]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−3,−2,…,33}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(5110, 624, F5, 35) (dual of [624, 514, 36]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- 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 = {−3,−2,…,35}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(5106, 624, F5, 33) (dual of [624, 518, 34]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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.