Information on Result #857483
Linear OOA(16114, 65538, F16, 2, 29) (dual of [(65538, 2), 130962, 30]-NRT-code), using OOA 2-folding based on linear OA(16114, 131076, F16, 29) (dual of [131076, 130962, 30]-code), using
- trace code [i] based on linear OA(25657, 65538, F256, 29) (dual of [65538, 65481, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(25657, 65536, F256, 29) (dual of [65536, 65479, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(25655, 65536, F256, 28) (dual of [65536, 65481, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(28) ⊂ Ce(27) [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(16115, 65538, F16, 2, 29) (dual of [(65538, 2), 130961, 30]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(16129, 65562, F16, 2, 29) (dual of [(65562, 2), 130995, 30]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(16130, 65571, F16, 2, 29) (dual of [(65571, 2), 131012, 30]-NRT-code) | [i] | ||