Information on Result #693576
Linear OA(2596, 15648, F25, 32) (dual of [15648, 15552, 33]-code), using construction X applied to Ce(31) ⊂ Ce(25) based on
- linear OA(2591, 15625, F25, 32) (dual of [15625, 15534, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(255, 23, F25, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,25)), using
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- Reed–Solomon code RS(20,25) [i]
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), 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(2597, 15649, F25, 32) (dual of [15649, 15552, 33]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(2596, 13394, F25, 2, 32) (dual of [(13394, 2), 26692, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (64, 96, 13394)-net over F25 | [i] | ||
| 4 | Linear OOA(2596, 7824, F25, 2, 32) (dual of [(7824, 2), 15552, 33]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2596, 978, F25, 32, 32) (dual of [(978, 32), 31200, 33]-NRT-code) | [i] | OA Folding and Stacking | |