Information on Result #1720356
Digital (190, 221, 28728)-net over F4, using net defined by OOA based on linear OOA(4221, 28728, F4, 33, 31) (dual of [(28728, 33), 947803, 32]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4221, 143641, F4, 3, 31) (dual of [(143641, 3), 430702, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4221, 143642, F4, 3, 31) (dual of [(143642, 3), 430705, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4221, 143642, F4, 31) (dual of [143642, 143421, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(4221, 262202, F4, 31) (dual of [262202, 261981, 32]-code), using
- 3 times code embedding in larger space [i] based on linear OA(4218, 262199, F4, 31) (dual of [262199, 261981, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(24) [i] based on
- linear OA(4208, 262144, F4, 31) (dual of [262144, 261936, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4163, 262144, F4, 25) (dual of [262144, 261981, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(410, 55, F4, 5) (dual of [55, 45, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- construction X applied to Ce(30) ⊂ Ce(24) [i] based on
- 3 times code embedding in larger space [i] based on linear OA(4218, 262199, F4, 31) (dual of [262199, 261981, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(4221, 262202, F4, 31) (dual of [262202, 261981, 32]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4221, 143642, F4, 31) (dual of [143642, 143421, 32]-code), using
- discarding factors / shortening the dual code based on linear OOA(4221, 143642, F4, 3, 31) (dual of [(143642, 3), 430705, 32]-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.