Information on Result #694107
Linear OA(2521, 633, F25, 10) (dual of [633, 612, 11]-code), using construction X applied to Ce(9) ⊂ Ce(6) based on
- linear OA(2519, 625, F25, 10) (dual of [625, 606, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(2513, 625, F25, 7) (dual of [625, 612, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(252, 8, F25, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- Reed–Solomon code RS(23,25) [i]
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), 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(2521, 487, F25, 2, 10) (dual of [(487, 2), 953, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (11, 21, 487)-net over F25 | [i] | ||