Information on Result #1532473
Linear OOA(3240, 29581, F3, 3, 33) (dual of [(29581, 3), 88503, 34]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3240, 29581, F3, 33) (dual of [29581, 29341, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(3240, 59129, F3, 33) (dual of [59129, 58889, 34]-code), using
- 3 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
- 3 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(3240, 14790, F3, 5, 33) (dual of [(14790, 5), 73710, 34]-NRT-code) | [i] | OOA Folding | |