Information on Result #712121
Linear OA(5141, 666, F5, 41) (dual of [666, 525, 42]-code), using construction XX applied to C1 = C([126,162]), C2 = C([134,166]), C3 = C1 + C2 = C([134,162]), and C∩ = C1 ∩ C2 = C([126,166]) based on
- linear OA(5115, 624, F5, 37) (dual of [624, 509, 38]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {126,127,…,162}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(5105, 624, F5, 33) (dual of [624, 519, 34]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {134,135,…,166}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- 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 = {126,127,…,166}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(593, 624, F5, 29) (dual of [624, 531, 30]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {134,135,…,162}, and designed minimum distance d ≥ |I|+1 = 30 [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(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)), 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.