Information on Result #731684
Linear OA(16122, 131112, F16, 28) (dual of [131112, 130990, 29]-code), using trace code based on linear OA(25661, 65556, F256, 28) (dual of [65556, 65495, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(20) [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(25641, 65536, F256, 21) (dual of [65536, 65495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2566, 20, F256, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,256)), using
- discarding factors / shortening the dual code based on linear OA(2566, 256, F256, 6) (dual of [256, 250, 7]-code or 256-arc in PG(5,256)), using
- Reed–Solomon code RS(250,256) [i]
- discarding factors / shortening the dual code based on linear OA(2566, 256, F256, 6) (dual of [256, 250, 7]-code or 256-arc in PG(5,256)), 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(16123, 131113, F16, 28) (dual of [131113, 130990, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(16122, 65556, F16, 2, 28) (dual of [(65556, 2), 130990, 29]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(16122, 9365, F16, 28, 28) (dual of [(9365, 28), 262098, 29]-NRT-code) | [i] | OA Folding and Stacking | |