Information on Result #1466363
Linear OOA(3176, 4194418, F3, 2, 16) (dual of [(4194418, 2), 8388660, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(325, 117, F3, 2, 8) (dual of [(117, 2), 209, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(325, 117, F3, 8) (dual of [117, 92, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(325, 121, F3, 8) (dual of [121, 96, 9]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(325, 117, F3, 8) (dual of [117, 92, 9]-code), using
- linear OOA(3151, 4194301, F3, 2, 16) (dual of [(4194301, 2), 8388451, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3151, 8388602, F3, 16) (dual of [8388602, 8388451, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- OOA 2-folding [i] based on linear OA(3151, 8388602, F3, 16) (dual of [8388602, 8388451, 17]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3176, 4194418, F3, 3, 16) (dual of [(4194418, 3), 12583078, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3176, 4194418, F3, 4, 16) (dual of [(4194418, 4), 16777496, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(3176, 4194418, F3, 5, 16) (dual of [(4194418, 5), 20971914, 17]-NRT-code) | [i] | ||
| 4 | Digital (160, 176, 4194418)-net over F3 | [i] | ||