Information on Result #1718112
Digital (96, 112, 43694)-net over F4, using net defined by OOA based on linear OOA(4112, 43694, F4, 21, 16) (dual of [(43694, 21), 917462, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4112, 131083, F4, 3, 16) (dual of [(131083, 3), 393137, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4112, 131083, F4, 2, 16) (dual of [(131083, 2), 262054, 17]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(4110, 131082, F4, 2, 16) (dual of [(131082, 2), 262054, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4110, 262164, F4, 16) (dual of [262164, 262054, 17]-code), using
- construction X4 applied to Ce(16) ⊂ Ce(13) [i] based on
- linear OA(4109, 262144, F4, 17) (dual of [262144, 262035, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(491, 262144, F4, 14) (dual of [262144, 262053, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(419, 20, F4, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,4)), using
- dual of repetition code with length 20 [i]
- linear OA(41, 20, F4, 1) (dual of [20, 19, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(16) ⊂ Ce(13) [i] based on
- OOA 2-folding [i] based on linear OA(4110, 262164, F4, 16) (dual of [262164, 262054, 17]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(4110, 131082, F4, 2, 16) (dual of [(131082, 2), 262054, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4112, 131083, F4, 2, 16) (dual of [(131083, 2), 262054, 17]-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.