Information on Result #711570
Linear OA(5116, 662, F5, 33) (dual of [662, 546, 34]-code), using construction XX applied to C1 = C([126,155]), C2 = C([134,158]), C3 = C1 + C2 = C([134,155]), and C∩ = C1 ∩ C2 = C([126,158]) based on
- linear OA(594, 624, F5, 30) (dual of [624, 530, 31]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {126,127,…,155}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(581, 624, F5, 25) (dual of [624, 543, 26]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {134,135,…,158}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(5103, 624, F5, 33) (dual of [624, 521, 34]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {126,127,…,158}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(572, 624, F5, 22) (dual of [624, 552, 23]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {134,135,…,155}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(510, 26, F5, 7) (dual of [26, 16, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(510, 25, F5, 7) (dual of [25, 15, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(53, 12, F5, 2) (dual of [12, 9, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), 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.