Information on Result #696762
Linear OA(3280, 32800, F32, 25) (dual of [32800, 32720, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,8]) based on
- linear OA(3273, 32769, F32, 25) (dual of [32769, 32696, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3249, 32769, F32, 17) (dual of [32769, 32720, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(327, 31, F32, 7) (dual of [31, 24, 8]-code or 31-arc in PG(6,32)), using
- discarding factors / shortening the dual code based on linear OA(327, 32, F32, 7) (dual of [32, 25, 8]-code or 32-arc in PG(6,32)), using
- Reed–Solomon code RS(25,32) [i]
- discarding factors / shortening the dual code based on linear OA(327, 32, F32, 7) (dual of [32, 25, 8]-code or 32-arc in PG(6,32)), 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 OA(3281, 32801, F32, 25) (dual of [32801, 32720, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3280, 16400, F32, 2, 25) (dual of [(16400, 2), 32720, 26]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3280, 2733, F32, 25, 25) (dual of [(2733, 25), 68245, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |