Information on Result #1532075
Linear OOA(3237, 2241, F3, 3, 49) (dual of [(2241, 3), 6486, 50]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3237, 2241, F3, 49) (dual of [2241, 2004, 50]-code), using
- discarding factors / shortening the dual code based on linear OA(3237, 2252, F3, 49) (dual of [2252, 2015, 50]-code), using
- 52 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 5 times 0, 1, 7 times 0, 1, 11 times 0, 1, 15 times 0) [i] based on linear OA(3225, 2188, F3, 49) (dual of [2188, 1963, 50]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- 52 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 5 times 0, 1, 7 times 0, 1, 11 times 0, 1, 15 times 0) [i] based on linear OA(3225, 2188, F3, 49) (dual of [2188, 1963, 50]-code), 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(3237, 1120, F3, 5, 49) (dual of [(1120, 5), 5363, 50]-NRT-code) | [i] | OOA Folding | |