Information on Result #1714438
Digital (106, 126, 4929)-net over F3, using net defined by OOA based on linear OOA(3126, 4929, F3, 25, 20) (dual of [(4929, 25), 123099, 21]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3126, 9859, F3, 5, 20) (dual of [(9859, 5), 49169, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3126, 9859, F3, 2, 20) (dual of [(9859, 2), 19592, 21]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3124, 9858, F3, 2, 20) (dual of [(9858, 2), 19592, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3124, 19716, F3, 20) (dual of [19716, 19592, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- linear OA(3118, 19683, F3, 20) (dual of [19683, 19565, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(36, 33, F3, 3) (dual of [33, 27, 4]-code or 33-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- OOA 2-folding [i] based on linear OA(3124, 19716, F3, 20) (dual of [19716, 19592, 21]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3124, 9858, F3, 2, 20) (dual of [(9858, 2), 19592, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3126, 9859, F3, 2, 20) (dual of [(9859, 2), 19592, 21]-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.