Information on Result #1720350
Digital (184, 215, 26218)-net over F4, using net defined by OOA based on linear OOA(4215, 26218, F4, 33, 31) (dual of [(26218, 33), 864979, 32]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4215, 131091, F4, 3, 31) (dual of [(131091, 3), 393058, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4215, 131093, F4, 3, 31) (dual of [(131093, 3), 393064, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4215, 131093, F4, 2, 31) (dual of [(131093, 2), 261971, 32]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4215, 262186, F4, 31) (dual of [262186, 261971, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(4215, 262187, F4, 31) (dual of [262187, 261972, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(25) [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(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(30) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(4215, 262187, F4, 31) (dual of [262187, 261972, 32]-code), using
- OOA 2-folding [i] based on linear OA(4215, 262186, F4, 31) (dual of [262186, 261971, 32]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4215, 131093, F4, 2, 31) (dual of [(131093, 2), 261971, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4215, 131093, F4, 3, 31) (dual of [(131093, 3), 393064, 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.