Information on Result #857403
Linear OOA(16110, 65538, F16, 2, 28) (dual of [(65538, 2), 130966, 29]-NRT-code), using OOA 2-folding based on linear OA(16110, 131076, F16, 28) (dual of [131076, 130966, 29]-code), using
- trace code [i] based on linear OA(25655, 65538, F256, 28) (dual of [65538, 65483, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- 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(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(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(27) ⊂ Ce(26) [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(16111, 65538, F16, 2, 28) (dual of [(65538, 2), 130965, 29]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(16125, 65562, F16, 2, 28) (dual of [(65562, 2), 130999, 29]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(16126, 65571, F16, 2, 28) (dual of [(65571, 2), 131016, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(16127, 65576, F16, 2, 28) (dual of [(65576, 2), 131025, 29]-NRT-code) | [i] | ||
| 5 | Linear OOA(16128, 65583, F16, 2, 28) (dual of [(65583, 2), 131038, 29]-NRT-code) | [i] | ||
| 6 | Linear OOA(16129, 65587, F16, 2, 28) (dual of [(65587, 2), 131045, 29]-NRT-code) | [i] | ||
| 7 | Linear OOA(16130, 65603, F16, 2, 28) (dual of [(65603, 2), 131076, 29]-NRT-code) | [i] | ||