Information on Result #905525
Linear OOA(25614, 33026, F256, 2, 6) (dual of [(33026, 2), 66038, 7]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2563, 257, F256, 2, 3) (dual of [(257, 2), 511, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;511,256) [i]
- linear OOA(25611, 32769, F256, 2, 6) (dual of [(32769, 2), 65527, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25611, 65538, F256, 6) (dual of [65538, 65527, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(25611, 65536, F256, 6) (dual of [65536, 65525, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(2569, 65536, F256, 5) (dual of [65536, 65527, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- OOA 2-folding [i] based on linear OA(25611, 65538, F256, 6) (dual of [65538, 65527, 7]-code), 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(25648, 4227327, F256, 2, 12) (dual of [(4227327, 2), 8454606, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25651, 4227327, F256, 2, 13) (dual of [(4227327, 2), 8454603, 14]-NRT-code) | [i] | ||