Information on Result #1712834
Digital (45, 56, 1699)-net over F3, using net defined by OOA based on linear OOA(356, 1699, F3, 15, 11) (dual of [(1699, 15), 25429, 12]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(356, 1700, F3, 5, 11) (dual of [(1700, 5), 8444, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(356, 1700, F3, 11) (dual of [1700, 1644, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(356, 2199, F3, 11) (dual of [2199, 2143, 12]-code), using
- (u, u+v)-construction [i] based on
- linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
- extended Golay code Ge(3) [i]
- linear OA(350, 2187, F3, 11) (dual of [2187, 2137, 12]-code), using
- an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(356, 2199, F3, 11) (dual of [2199, 2143, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(356, 1700, F3, 11) (dual of [1700, 1644, 12]-code), using
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.