Information on Result #1777879
Digital (146, 172, 88563)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4172, 88563, F4, 2, 26) (dual of [(88563, 2), 176954, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4172, 131076, F4, 2, 26) (dual of [(131076, 2), 261980, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4172, 262152, F4, 26) (dual of [262152, 261980, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(4172, 262153, F4, 26) (dual of [262153, 261981, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- 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(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(40, 9, F4, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(4172, 262153, F4, 26) (dual of [262153, 261981, 27]-code), using
- OOA 2-folding [i] based on linear OA(4172, 262152, F4, 26) (dual of [262152, 261980, 27]-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.