Information on Result #857322
Linear OOA(16106, 65538, F16, 2, 27) (dual of [(65538, 2), 130970, 28]-NRT-code), using OOA 2-folding based on linear OA(16106, 131076, F16, 27) (dual of [131076, 130970, 28]-code), using
- trace code [i] based on linear OA(25653, 65538, F256, 27) (dual of [65538, 65485, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(25653, 65536, F256, 27) (dual of [65536, 65483, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(25651, 65536, F256, 26) (dual of [65536, 65485, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(26) ⊂ Ce(25) [i] based on
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(16107, 65538, F16, 2, 27) (dual of [(65538, 2), 130969, 28]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(16120, 65562, F16, 2, 27) (dual of [(65562, 2), 131004, 28]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(16121, 65571, F16, 2, 27) (dual of [(65571, 2), 131021, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(16122, 65576, F16, 2, 27) (dual of [(65576, 2), 131030, 28]-NRT-code) | [i] | ||
| 5 | Linear OOA(16123, 65583, F16, 2, 27) (dual of [(65583, 2), 131043, 28]-NRT-code) | [i] | ||
| 6 | Linear OOA(16124, 65587, F16, 2, 27) (dual of [(65587, 2), 131050, 28]-NRT-code) | [i] | ||
| 7 | Linear OOA(16125, 65603, F16, 2, 27) (dual of [(65603, 2), 131081, 28]-NRT-code) | [i] | ||