Information on Result #1761097
Digital (53, 74, 255)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(374, 255, F3, 21) (dual of [255, 181, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(374, 260, F3, 21) (dual of [260, 186, 22]-code), using
- construction XX applied to C1 = C([102,121]), C2 = C([105,122]), C3 = C1 + C2 = C([105,121]), and C∩ = C1 ∩ C2 = C([102,122]) [i] based on
- linear OA(366, 242, F3, 20) (dual of [242, 176, 21]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {102,103,…,121}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(361, 242, F3, 18) (dual of [242, 181, 19]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {105,106,…,122}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(371, 242, F3, 21) (dual of [242, 171, 22]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {102,103,…,122}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(356, 242, F3, 17) (dual of [242, 186, 18]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {105,106,…,121}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- linear OA(30, 5, F3, 0) (dual of [5, 5, 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([102,121]), C2 = C([105,122]), C3 = C1 + C2 = C([105,121]), and C∩ = C1 ∩ C2 = C([102,122]) [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.