Information on Result #1721480
Digital (214, 256, 5167)-net over F4, using net defined by OOA based on linear OOA(4256, 5167, F4, 45, 42) (dual of [(5167, 45), 232259, 43]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(4256, 36170, F4, 3, 42) (dual of [(36170, 3), 108254, 43]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4256, 36176, F4, 3, 42) (dual of [(36176, 3), 108272, 43]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4256, 36176, F4, 42) (dual of [36176, 35920, 43]-code), using
- discarding factors / shortening the dual code based on linear OA(4256, 65575, F4, 42) (dual of [65575, 65319, 43]-code), using
- construction X applied to Ce(41) ⊂ Ce(36) [i] based on
- linear OA(4249, 65536, F4, 42) (dual of [65536, 65287, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4217, 65536, F4, 37) (dual of [65536, 65319, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(47, 39, F4, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(41) ⊂ Ce(36) [i] based on
- discarding factors / shortening the dual code based on linear OA(4256, 65575, F4, 42) (dual of [65575, 65319, 43]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4256, 36176, F4, 42) (dual of [36176, 35920, 43]-code), using
- discarding factors / shortening the dual code based on linear OOA(4256, 36176, F4, 3, 42) (dual of [(36176, 3), 108272, 43]-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.