Information on Result #700341
Linear OA(25636, 65541, F256, 18) (dual of [65541, 65505, 19]-code), using construction X applied to Ce(17) ⊂ Ce(15) based on
- linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-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 OA(1672, 131082, F16, 18) (dual of [131082, 131010, 19]-code) | [i] | Trace Code | |
| 2 | OA(3258, 65541, S32, 18) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6448, 65541, S64, 18) | [i] | ||
| 4 | OA(12842, 65541, S128, 18) | [i] | ||
| 5 | Linear OA(25646, 65801, F256, 18) (dual of [65801, 65755, 19]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25647, 65803, F256, 18) (dual of [65803, 65756, 19]-code) | [i] | ||
| 7 | Linear OOA(25636, 32770, F256, 2, 18) (dual of [(32770, 2), 65504, 19]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(25636, 21847, F256, 3, 18) (dual of [(21847, 3), 65505, 19]-NRT-code) | [i] | ||
| 9 | Linear OOA(25636, 16385, F256, 4, 18) (dual of [(16385, 4), 65504, 19]-NRT-code) | [i] | ||
| 10 | Linear OOA(25636, 13108, F256, 5, 18) (dual of [(13108, 5), 65504, 19]-NRT-code) | [i] | ||