Information on Result #1641536
Linear OOA(380, 757, F3, 5, 18) (dual of [(757, 5), 3705, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(380, 757, F3, 18) (dual of [757, 677, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(380, 760, F3, 18) (dual of [760, 680, 19]-code), using
- construction XX applied to C1 = C([724,12]), C2 = C([1,13]), C3 = C1 + C2 = C([1,12]), and C∩ = C1 ∩ C2 = C([724,13]) [i] based on
- linear OA(367, 728, F3, 17) (dual of [728, 661, 18]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−4,−3,…,12}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(354, 728, F3, 13) (dual of [728, 674, 14]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(373, 728, F3, 18) (dual of [728, 655, 19]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−4,−3,…,13}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(348, 728, F3, 12) (dual of [728, 680, 13]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(30, 6, F3, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction XX applied to C1 = C([724,12]), C2 = C([1,13]), C3 = C1 + C2 = C([1,12]), and C∩ = C1 ∩ C2 = C([724,13]) [i] based on
Mode: 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.