Information on Result #1720158
Digital (158, 188, 7898)-net over F4, using net defined by OOA based on linear OOA(4188, 7898, F4, 33, 30) (dual of [(7898, 33), 260446, 31]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4188, 39491, F4, 3, 30) (dual of [(39491, 3), 118285, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4188, 39495, F4, 3, 30) (dual of [(39495, 3), 118297, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4188, 39495, F4, 30) (dual of [39495, 39307, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(4188, 65579, F4, 30) (dual of [65579, 65391, 31]-code), using
- 4 times code embedding in larger space [i] based on linear OA(4184, 65575, F4, 30) (dual of [65575, 65391, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4145, 65536, F4, 25) (dual of [65536, 65391, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(29) ⊂ Ce(24) [i] based on
- 4 times code embedding in larger space [i] based on linear OA(4184, 65575, F4, 30) (dual of [65575, 65391, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(4188, 65579, F4, 30) (dual of [65579, 65391, 31]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4188, 39495, F4, 30) (dual of [39495, 39307, 31]-code), using
- discarding factors / shortening the dual code based on linear OOA(4188, 39495, F4, 3, 30) (dual of [(39495, 3), 118297, 31]-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.