Information on Result #2266365
Linear OA(3182, 6606, F3, 32) (dual of [6606, 6424, 33]-code), using 2 times code embedding in larger space based on linear OA(3180, 6604, F3, 32) (dual of [6604, 6424, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(25) [i] based on
- linear OA(3169, 6561, F3, 32) (dual of [6561, 6392, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3137, 6561, F3, 26) (dual of [6561, 6424, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(311, 43, F3, 5) (dual of [43, 32, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(3182, 4525, F3, 2, 32) (dual of [(4525, 2), 8868, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3182, 4525, F3, 3, 32) (dual of [(4525, 3), 13393, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(3182, 4525, F3, 4, 32) (dual of [(4525, 4), 17918, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(3182, 4525, F3, 5, 32) (dual of [(4525, 5), 22443, 33]-NRT-code) | [i] | ||
| 5 | Digital (150, 182, 4525)-net over F3 | [i] | ||
| 6 | Linear OOA(3182, 2202, F3, 3, 32) (dual of [(2202, 3), 6424, 33]-NRT-code) | [i] | OOA Folding | |