Information on Result #1785041
Digital (227, 257, 1767675)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4257, 1767675, F4, 2, 30) (dual of [(1767675, 2), 3535093, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4257, 2097186, F4, 2, 30) (dual of [(2097186, 2), 4194115, 31]-NRT-code), using
- 41 times duplication [i] based on linear OOA(4256, 2097186, F4, 2, 30) (dual of [(2097186, 2), 4194116, 31]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4256, 4194372, F4, 30) (dual of [4194372, 4194116, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(22) [i] based on
- linear OA(4243, 4194304, F4, 30) (dual of [4194304, 4194061, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4188, 4194304, F4, 23) (dual of [4194304, 4194116, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(413, 68, F4, 6) (dual of [68, 55, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 70, F4, 6) (dual of [70, 57, 7]-code), using
- construction X applied to Ce(29) ⊂ Ce(22) [i] based on
- OOA 2-folding [i] based on linear OA(4256, 4194372, F4, 30) (dual of [4194372, 4194116, 31]-code), using
- 41 times duplication [i] based on linear OOA(4256, 2097186, F4, 2, 30) (dual of [(2097186, 2), 4194116, 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.