Information on Result #731675
Linear OA(16118, 131100, F16, 28) (dual of [131100, 130982, 29]-code), using trace code based on linear OA(25659, 65550, F256, 28) (dual of [65550, 65491, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(22) [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(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(2564, 14, F256, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,256)), using
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
- Reed–Solomon code RS(252,256) [i]
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), 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(16119, 131101, F16, 28) (dual of [131101, 130982, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(16118, 65550, F16, 2, 28) (dual of [(65550, 2), 130982, 29]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(16118, 9364, F16, 28, 28) (dual of [(9364, 28), 262074, 29]-NRT-code) | [i] | OA Folding and Stacking | |