Information on Result #1718126
Digital (103, 119, 79744)-net over F4, using net defined by OOA based on linear OOA(4119, 79744, F4, 21, 16) (dual of [(79744, 21), 1674505, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4119, 239233, F4, 3, 16) (dual of [(239233, 3), 717580, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4119, 239234, F4, 3, 16) (dual of [(239234, 3), 717583, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4119, 239234, F4, 16) (dual of [239234, 239115, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(4119, 262199, F4, 16) (dual of [262199, 262080, 17]-code), using
- construction X applied to Ce(16) ⊂ Ce(9) [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(464, 262144, F4, 10) (dual of [262144, 262080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(16) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(4119, 262199, F4, 16) (dual of [262199, 262080, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4119, 239234, F4, 16) (dual of [239234, 239115, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(4119, 239234, F4, 3, 16) (dual of [(239234, 3), 717583, 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.