Information on Result #1714686
Digital (115, 136, 4931)-net over F3, using net defined by OOA based on linear OOA(3136, 4931, F3, 25, 21) (dual of [(4931, 25), 123139, 22]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3136, 9863, F3, 5, 21) (dual of [(9863, 5), 49179, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3136, 9864, F3, 5, 21) (dual of [(9864, 5), 49184, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3136, 9864, F3, 2, 21) (dual of [(9864, 2), 19592, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3136, 19728, F3, 21) (dual of [19728, 19592, 22]-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(39, 45, F3, 4) (dual of [45, 36, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(39, 80, F3, 4) (dual of [80, 71, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(39, 80, F3, 4) (dual of [80, 71, 5]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- OOA 2-folding [i] based on linear OA(3136, 19728, F3, 21) (dual of [19728, 19592, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3136, 9864, F3, 2, 21) (dual of [(9864, 2), 19592, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3136, 9864, F3, 5, 21) (dual of [(9864, 5), 49184, 22]-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.