Information on Result #731661
Linear OA(16112, 131106, F16, 26) (dual of [131106, 130994, 27]-code), using trace code based on linear OA(25656, 65553, F256, 26) (dual of [65553, 65497, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- 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(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2565, 17, F256, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,256)), using
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- Reed–Solomon code RS(251,256) [i]
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), 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(16113, 131107, F16, 26) (dual of [131107, 130994, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(16112, 65553, F16, 2, 26) (dual of [(65553, 2), 130994, 27]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(16112, 10085, F16, 26, 26) (dual of [(10085, 26), 262098, 27]-NRT-code) | [i] | OA Folding and Stacking | |