Information on Result #693224
Linear OA(2577, 390649, F25, 19) (dual of [390649, 390572, 20]-code), using construction X applied to Ce(18) ⊂ Ce(13) based on
- linear OA(2573, 390625, F25, 19) (dual of [390625, 390552, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2553, 390625, F25, 14) (dual of [390625, 390572, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(254, 24, F25, 4) (dual of [24, 20, 5]-code or 24-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(2577, 390649, F25, 2, 19) (dual of [(390649, 2), 781221, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (58, 77, 390649)-net over F25 | [i] | ||
| 3 | Linear OOA(2577, 195324, F25, 2, 19) (dual of [(195324, 2), 390571, 20]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2577, 43405, F25, 19, 19) (dual of [(43405, 19), 824618, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |