Information on Result #1305631
Linear OA(3243, 2290, F3, 50) (dual of [2290, 2047, 51]-code), using 85 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 6 times 0, 1, 9 times 0, 1, 13 times 0, 1, 18 times 0, 1, 24 times 0) based on linear OA(3232, 2194, F3, 50) (dual of [2194, 1962, 51]-code), using
- construction X applied to Ce(49) ⊂ Ce(48) [i] based on
- linear OA(3232, 2187, F3, 50) (dual of [2187, 1955, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(3225, 2187, F3, 49) (dual of [2187, 1962, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [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(3243, 2290, F3, 2, 50) (dual of [(2290, 2), 4337, 51]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3243, 2290, F3, 3, 50) (dual of [(2290, 3), 6627, 51]-NRT-code) | [i] | ||
| 3 | Linear OOA(3243, 2290, F3, 4, 50) (dual of [(2290, 4), 8917, 51]-NRT-code) | [i] | ||
| 4 | Linear OOA(3243, 2290, F3, 5, 50) (dual of [(2290, 5), 11207, 51]-NRT-code) | [i] | ||
| 5 | Digital (193, 243, 2290)-net over F3 | [i] | ||
| 6 | Linear OOA(3243, 1145, F3, 2, 50) (dual of [(1145, 2), 2047, 51]-NRT-code) | [i] | OOA Folding | |