Information on Result #1713682
Digital (152, 168, 1753137)-net over F3, using net defined by OOA based on linear OOA(3168, 1753137, F3, 20, 16) (dual of [(1753137, 20), 35062572, 17]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3168, 3506275, F3, 4, 16) (dual of [(3506275, 4), 14024932, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3168, 3506276, F3, 4, 16) (dual of [(3506276, 4), 14024936, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3168, 3506276, F3, 2, 16) (dual of [(3506276, 2), 7012384, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3168, 4194324, F3, 2, 16) (dual of [(4194324, 2), 8388480, 17]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3167, 4194324, F3, 2, 16) (dual of [(4194324, 2), 8388481, 17]-NRT-code), using
- 1 times NRT-code embedding in larger space [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
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3165, 4194323, F3, 2, 16) (dual of [(4194323, 2), 8388481, 17]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3167, 4194324, F3, 2, 16) (dual of [(4194324, 2), 8388481, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3168, 4194324, F3, 2, 16) (dual of [(4194324, 2), 8388480, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3168, 3506276, F3, 2, 16) (dual of [(3506276, 2), 7012384, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3168, 3506276, F3, 4, 16) (dual of [(3506276, 4), 14024936, 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.