Information on Result #1717714
Digital (95, 107, 1818276)-net over F4, using net defined by OOA based on linear OOA(4107, 1818276, F4, 15, 12) (dual of [(1818276, 15), 27274033, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(4107, 3636553, F4, 3, 12) (dual of [(3636553, 3), 10909552, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4107, 3636554, F4, 3, 12) (dual of [(3636554, 3), 10909555, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4107, 3636554, F4, 12) (dual of [3636554, 3636447, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(4107, 4194347, F4, 12) (dual of [4194347, 4194240, 13]-code), using
- construction X applied to Ce(12) ⊂ Ce(6) [i] based on
- linear OA(4100, 4194304, F4, 13) (dual of [4194304, 4194204, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(456, 4194304, F4, 7) (dual of [4194304, 4194248, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(12) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(4107, 4194347, F4, 12) (dual of [4194347, 4194240, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4107, 3636554, F4, 12) (dual of [3636554, 3636447, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(4107, 3636554, F4, 3, 12) (dual of [(3636554, 3), 10909555, 13]-NRT-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.