Information on Result #1763720
Digital (115, 138, 7271)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3138, 7271, F3, 2, 23) (dual of [(7271, 2), 14404, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3138, 9847, F3, 2, 23) (dual of [(9847, 2), 19556, 24]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3136, 9846, F3, 2, 23) (dual of [(9846, 2), 19556, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3136, 19692, F3, 23) (dual of [19692, 19556, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(3136, 19683, F3, 23) (dual of [19683, 19547, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- 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(30, 9, F3, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- OOA 2-folding [i] based on linear OA(3136, 19692, F3, 23) (dual of [19692, 19556, 24]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3136, 9846, F3, 2, 23) (dual of [(9846, 2), 19556, 24]-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.