Information on Result #712421
Linear OA(5149, 635, F5, 47) (dual of [635, 486, 48]-code), using construction XX applied to C1 = C([623,43]), C2 = C([1,45]), C3 = C1 + C2 = C([1,43]), and C∩ = C1 ∩ C2 = C([623,45]) based on
- linear OA(5143, 624, F5, 45) (dual of [624, 481, 46]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−1,0,…,43}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(5142, 624, F5, 45) (dual of [624, 482, 46]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(5147, 624, F5, 47) (dual of [624, 477, 48]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−1,0,…,45}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(5138, 624, F5, 43) (dual of [624, 486, 44]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [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.