Information on Result #731627
Linear OA(1694, 131076, F16, 24) (dual of [131076, 130982, 25]-code), using trace code based on linear OA(25647, 65538, F256, 24) (dual of [65538, 65491, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(25647, 65536, F256, 24) (dual of [65536, 65489, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(25645, 65536, F256, 23) (dual of [65536, 65491, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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 OA(1695, 131077, F16, 24) (dual of [131077, 130982, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(1694, 65538, F16, 2, 24) (dual of [(65538, 2), 130982, 25]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(1694, 10923, F16, 24, 24) (dual of [(10923, 24), 262058, 25]-NRT-code) | [i] | OA Folding and Stacking | |