Information on Result #1718016
Digital (106, 121, 227318)-net over F4, using net defined by OOA based on linear OOA(4121, 227318, F4, 21, 15) (dual of [(227318, 21), 4773557, 16]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4121, 681955, F4, 3, 15) (dual of [(681955, 3), 2045744, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4121, 681955, F4, 15) (dual of [681955, 681834, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(4121, 1048596, F4, 15) (dual of [1048596, 1048475, 16]-code), using
- (u, u+v)-construction [i] based on
- linear OA(410, 20, F4, 7) (dual of [20, 10, 8]-code), using
- extended quadratic residue code Qe(20,4) [i]
- linear OA(4111, 1048576, F4, 15) (dual of [1048576, 1048465, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(410, 20, F4, 7) (dual of [20, 10, 8]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(4121, 1048596, F4, 15) (dual of [1048596, 1048475, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4121, 681955, F4, 15) (dual of [681955, 681834, 16]-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.