Information on Result #731669
Linear OA(16116, 131118, F16, 26) (dual of [131118, 131002, 27]-code), using trace code based on linear OA(25658, 65559, F256, 26) (dual of [65559, 65501, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(17) [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(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2567, 23, F256, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,256)), using
- discarding factors / shortening the dual code based on linear OA(2567, 256, F256, 7) (dual of [256, 249, 8]-code or 256-arc in PG(6,256)), using
- Reed–Solomon code RS(249,256) [i]
- discarding factors / shortening the dual code based on linear OA(2567, 256, F256, 7) (dual of [256, 249, 8]-code or 256-arc in PG(6,256)), 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(16117, 131119, F16, 26) (dual of [131119, 131002, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(16116, 65559, F16, 2, 26) (dual of [(65559, 2), 131002, 27]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(16116, 10086, F16, 26, 26) (dual of [(10086, 26), 262120, 27]-NRT-code) | [i] | OA Folding and Stacking | |