Information on Result #1524160
Linear OOA(3147, 5280604, F3, 3, 13) (dual of [(5280604, 3), 15841665, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3147, 5280604, F3, 13) (dual of [5280604, 5280457, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3147, large, F3, 13) (dual of [large, large−147, 14]-code), using
- 26 times code embedding in larger space [i] based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- 26 times code embedding in larger space [i] based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(3147, 2640302, F3, 5, 13) (dual of [(2640302, 5), 13201363, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3147, 2640301, F3, 15, 13) (dual of [(2640301, 15), 39604368, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |