Information on Result #1713678
Digital (150, 166, 1480513)-net over F3, using net defined by OOA based on linear OOA(3166, 1480513, F3, 20, 16) (dual of [(1480513, 20), 29610094, 17]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3166, 2961027, F3, 4, 16) (dual of [(2961027, 4), 11843942, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3166, 2961028, F3, 4, 16) (dual of [(2961028, 4), 11843946, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3166, 2961028, F3, 2, 16) (dual of [(2961028, 2), 5921890, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3166, 4194323, F3, 2, 16) (dual of [(4194323, 2), 8388480, 17]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3165, 4194323, F3, 2, 16) (dual of [(4194323, 2), 8388481, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(314, 22, F3, 2, 8) (dual of [(22, 2), 30, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 14, 22)-net over F3, using
- linear OOA(3151, 4194301, F3, 2, 16) (dual of [(4194301, 2), 8388451, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3151, 8388602, F3, 16) (dual of [8388602, 8388451, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- OOA 2-folding [i] based on linear OA(3151, 8388602, F3, 16) (dual of [8388602, 8388451, 17]-code), using
- linear OOA(314, 22, F3, 2, 8) (dual of [(22, 2), 30, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- 31 times duplication [i] based on linear OOA(3165, 4194323, F3, 2, 16) (dual of [(4194323, 2), 8388481, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3166, 4194323, F3, 2, 16) (dual of [(4194323, 2), 8388480, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3166, 2961028, F3, 2, 16) (dual of [(2961028, 2), 5921890, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3166, 2961028, F3, 4, 16) (dual of [(2961028, 4), 11843946, 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.