Information on Result #1304940
Linear OA(3192, 2323, F3, 38) (dual of [2323, 2131, 39]-code), using 113 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 6 times 0, 1, 9 times 0, 1, 12 times 0, 1, 16 times 0, 1, 21 times 0, 1, 26 times 0) based on linear OA(3176, 2194, F3, 38) (dual of [2194, 2018, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(36) [i] based on
- linear OA(3176, 2187, F3, 38) (dual of [2187, 2011, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3169, 2187, F3, 37) (dual of [2187, 2018, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(30, 7, F3, 0) (dual of [7, 7, 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
Mode: 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(3192, 2323, F3, 2, 38) (dual of [(2323, 2), 4454, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3192, 2323, F3, 3, 38) (dual of [(2323, 3), 6777, 39]-NRT-code) | [i] | ||
| 3 | Linear OOA(3192, 2323, F3, 4, 38) (dual of [(2323, 4), 9100, 39]-NRT-code) | [i] | ||
| 4 | Linear OOA(3192, 2323, F3, 5, 38) (dual of [(2323, 5), 11423, 39]-NRT-code) | [i] | ||
| 5 | Digital (154, 192, 2323)-net over F3 | [i] | ||
| 6 | Linear OOA(3192, 1161, F3, 2, 38) (dual of [(1161, 2), 2130, 39]-NRT-code) | [i] | OOA Folding | |