Information on Result #993724
Linear OOA(25637, 21846, F256, 3, 19) (dual of [(21846, 3), 65501, 20]-NRT-code), using OOA 3-folding based on linear OA(25637, 65538, F256, 19) (dual of [65538, 65501, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(25637, 65536, F256, 19) (dual of [65536, 65499, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 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(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 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(25646, 22103, F256, 3, 19) (dual of [(22103, 3), 66263, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25647, 22104, F256, 3, 19) (dual of [(22104, 3), 66265, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(25648, 22105, F256, 3, 19) (dual of [(22105, 3), 66267, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(25649, 22106, F256, 3, 19) (dual of [(22106, 3), 66269, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(25650, 22360, F256, 3, 19) (dual of [(22360, 3), 67030, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(25651, 22361, F256, 3, 19) (dual of [(22361, 3), 67032, 20]-NRT-code) | [i] | ||
| 7 | Linear OOA(25652, 22362, F256, 3, 19) (dual of [(22362, 3), 67034, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(25653, 22363, F256, 3, 19) (dual of [(22363, 3), 67036, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(25653, 22617, F256, 3, 19) (dual of [(22617, 3), 67798, 20]-NRT-code) | [i] | ||