Information on Result #869042
Linear OOA(3214, 16388, F32, 2, 5) (dual of [(16388, 2), 32762, 6]-NRT-code), using OOA 2-folding based on linear OA(3214, 32776, F32, 5) (dual of [32776, 32762, 6]-code), using
- construction X applied to C([0,2]) ⊂ C([0,1]) [i] based on
- linear OA(3213, 32769, F32, 5) (dual of [32769, 32756, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(327, 32769, F32, 3) (dual of [32769, 32762, 4]-code or 32769-cap in PG(6,32)), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,1], and minimum distance d ≥ |{−1,0,1}|+1 = 4 (BCH-bound) [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(3260, 4210689, F32, 2, 10) (dual of [(4210689, 2), 8421318, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3265, 4210689, F32, 2, 11) (dual of [(4210689, 2), 8421313, 12]-NRT-code) | [i] | ||