Information on Result #2487691
Linear OOA(3239, 29564, F3, 2, 33) (dual of [(29564, 2), 58889, 34]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3237, 29563, F3, 2, 33) (dual of [(29563, 2), 58889, 34]-NRT-code), using
- OOA 2-folding [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
Mode: Constructive and 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, 29564, F3, 2, 33) (dual of [(29564, 2), 58888, 34]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3239, 29564, F3, 3, 33) (dual of [(29564, 3), 88453, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3239, 29564, F3, 4, 33) (dual of [(29564, 4), 118017, 34]-NRT-code) | [i] | ||
| 4 | Linear OOA(3239, 29564, F3, 5, 33) (dual of [(29564, 5), 147581, 34]-NRT-code) | [i] | ||
| 5 | Digital (206, 239, 29564)-net over F3 | [i] | ||