Information on Result #1604501
Linear OOA(3139, 4432, F3, 4, 24) (dual of [(4432, 4), 17589, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3139, 4432, F3, 24) (dual of [4432, 4293, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(3139, 6604, F3, 24) (dual of [6604, 6465, 25]-code), using
- 1 times truncation [i] based on linear OA(3140, 6605, F3, 25) (dual of [6605, 6465, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(3129, 6562, F3, 25) (dual of [6562, 6433, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(397, 6562, F3, 19) (dual of [6562, 6465, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [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
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- 1 times truncation [i] based on linear OA(3140, 6605, F3, 25) (dual of [6605, 6465, 26]-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(3139, 1477, F3, 28, 24) (dual of [(1477, 28), 41217, 25]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |