Information on Result #693587
Linear OA(2551, 15648, F25, 16) (dual of [15648, 15597, 17]-code), using construction X applied to Ce(15) ⊂ Ce(9) based on
- linear OA(2546, 15625, F25, 16) (dual of [15625, 15579, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2528, 15625, F25, 10) (dual of [15625, 15597, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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 OOA(2551, 15648, F25, 2, 16) (dual of [(15648, 2), 31245, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (35, 51, 15648)-net over F25 | [i] | ||
| 3 | Linear OOA(2551, 7824, F25, 2, 16) (dual of [(7824, 2), 15597, 17]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2551, 1956, F25, 16, 16) (dual of [(1956, 16), 31245, 17]-NRT-code) | [i] | OA Folding and Stacking | |