Information on Result #861131
Linear OOA(2546, 7814, F25, 2, 16) (dual of [(7814, 2), 15582, 17]-NRT-code), using OOA 2-folding based on linear OA(2546, 15628, F25, 16) (dual of [15628, 15582, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] 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(2543, 15625, F25, 15) (dual of [15625, 15582, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(2554, 7840, F25, 2, 16) (dual of [(7840, 2), 15626, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2555, 7841, F25, 2, 16) (dual of [(7841, 2), 15627, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(2556, 7842, F25, 2, 16) (dual of [(7842, 2), 15628, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(2557, 7866, F25, 2, 16) (dual of [(7866, 2), 15675, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(2558, 7880, F25, 2, 16) (dual of [(7880, 2), 15702, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(2560, 7892, F25, 2, 16) (dual of [(7892, 2), 15724, 17]-NRT-code) | [i] | ||