Information on Result #1763656
Digital (104, 137, 742)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3137, 742, F3, 33) (dual of [742, 605, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(3137, 757, F3, 33) (dual of [757, 620, 34]-code), using
- construction XX applied to C1 = C([724,27]), C2 = C([1,28]), C3 = C1 + C2 = C([1,27]), and C∩ = C1 ∩ C2 = C([724,28]) [i] based on
- linear OA(3127, 728, F3, 32) (dual of [728, 601, 33]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−4,−3,…,27}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3111, 728, F3, 28) (dual of [728, 617, 29]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3130, 728, F3, 33) (dual of [728, 598, 34]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−4,−3,…,28}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3108, 728, F3, 27) (dual of [728, 620, 28]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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, 3, F3, 0) (dual of [3, 3, 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([724,27]), C2 = C([1,28]), C3 = C1 + C2 = C([1,27]), and C∩ = C1 ∩ C2 = C([724,28]) [i] based on
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.