Information on Result #1766436
Digital (159, 181, 177167)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3181, 177167, F3, 3, 22) (dual of [(177167, 3), 531320, 23]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3181, 531501, F3, 22) (dual of [531501, 531320, 23]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3180, 531500, F3, 22) (dual of [531500, 531320, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- linear OA(3169, 531441, F3, 22) (dual of [531441, 531272, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3121, 531441, F3, 16) (dual of [531441, 531320, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(311, 59, F3, 5) (dual of [59, 48, 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
- 1 times code embedding in larger space [i] based on linear OA(3180, 531500, F3, 22) (dual of [531500, 531320, 23]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (160, 182, 177167)-net over F3 | [i] | Net Duplication | |