Information on Result #1714914
Digital (116, 138, 3288)-net over F3, using net defined by OOA based on linear OOA(3138, 3288, F3, 28, 22) (dual of [(3288, 28), 91926, 23]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3138, 9865, F3, 4, 22) (dual of [(9865, 4), 39322, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3138, 9865, F3, 2, 22) (dual of [(9865, 2), 19592, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3138, 19730, F3, 22) (dual of [19730, 19592, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- linear OA(3127, 19683, F3, 22) (dual of [19683, 19556, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(391, 19683, F3, 16) (dual of [19683, 19592, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(311, 47, F3, 5) (dual of [47, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- OOA 2-folding [i] based on linear OA(3138, 19730, F3, 22) (dual of [19730, 19592, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3138, 9865, F3, 2, 22) (dual of [(9865, 2), 19592, 23]-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.