Information on Result #693517
Linear OA(2533, 15636, F25, 11) (dual of [15636, 15603, 12]-code), using construction X applied to Ce(10) ⊂ Ce(7) based on
- linear OA(2531, 15625, F25, 11) (dual of [15625, 15594, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2522, 15625, F25, 8) (dual of [15625, 15603, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(252, 11, F25, 2) (dual of [11, 9, 3]-code or 11-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(2533, 15636, F25, 2, 11) (dual of [(15636, 2), 31239, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (22, 33, 15636)-net over F25 | [i] | ||
| 3 | Linear OOA(2533, 7818, F25, 2, 11) (dual of [(7818, 2), 15603, 12]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2533, 3127, F25, 11, 11) (dual of [(3127, 11), 34364, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |