Information on Result #693558
Linear OA(2571, 15644, F25, 23) (dual of [15644, 15573, 24]-code), using construction X applied to Ce(22) ⊂ Ce(17) based on
- linear OA(2567, 15625, F25, 23) (dual of [15625, 15558, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2552, 15625, F25, 18) (dual of [15625, 15573, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(254, 19, F25, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,25)), using
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- Reed–Solomon code RS(21,25) [i]
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), 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 OOA(2571, 15644, F25, 2, 23) (dual of [(15644, 2), 31217, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (48, 71, 15644)-net over F25 | [i] | ||
| 3 | Linear OOA(2571, 7822, F25, 2, 23) (dual of [(7822, 2), 15573, 24]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2571, 1422, F25, 23, 23) (dual of [(1422, 23), 32635, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |