Information on Result #712369
Linear OA(5133, 635, F5, 42) (dual of [635, 502, 43]-code), using construction XX applied to C1 = C([623,38]), C2 = C([1,40]), C3 = C1 + C2 = C([1,38]), and C∩ = C1 ∩ C2 = C([623,40]) based on
- linear OA(5127, 624, F5, 40) (dual of [624, 497, 41]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−1,0,…,38}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(5126, 624, F5, 40) (dual of [624, 498, 41]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(5131, 624, F5, 42) (dual of [624, 493, 43]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−1,0,…,40}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(5122, 624, F5, 38) (dual of [624, 502, 39]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(51, 6, F5, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.