Information on Result #1612306
Linear OOA(3241, 30649, F3, 4, 33) (dual of [(30649, 4), 122355, 34]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3241, 30649, F3, 33) (dual of [30649, 30408, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(3241, 59130, F3, 33) (dual of [59130, 58889, 34]-code), using
- 4 times code embedding in larger space [i] based on linear OA(3237, 59126, F3, 33) (dual of [59126, 58889, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,12]) [i] based on
- linear OA(3221, 59050, F3, 33) (dual of [59050, 58829, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(3161, 59050, F3, 25) (dual of [59050, 58889, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(316, 76, F3, 7) (dual of [76, 60, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- construction X applied to C([0,16]) ⊂ C([0,12]) [i] based on
- 4 times code embedding in larger space [i] based on linear OA(3237, 59126, F3, 33) (dual of [59126, 58889, 34]-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(3241, 7662, F3, 36, 33) (dual of [(7662, 36), 275591, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |