Information on Result #712284
Linear OA(5145, 658, F5, 43) (dual of [658, 513, 44]-code), using construction XX applied to C1 = C([116,156]), C2 = C([123,158]), C3 = C1 + C2 = C([123,156]), and C∩ = C1 ∩ C2 = C([116,158]) based on
- linear OA(5127, 624, F5, 41) (dual of [624, 497, 42]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {116,117,…,156}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(5115, 624, F5, 36) (dual of [624, 509, 37]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {123,124,…,158}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(5135, 624, F5, 43) (dual of [624, 489, 44]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {116,117,…,158}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(5107, 624, F5, 34) (dual of [624, 517, 35]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {123,124,…,156}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(59, 25, F5, 6) (dual of [25, 16, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(51, 9, F5, 1) (dual of [9, 8, 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
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.