Information on Result #700463
Linear OA(25664, 65565, F256, 28) (dual of [65565, 65501, 29]-code), using construction X applied to Ce(27) ⊂ Ce(17) 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(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(2569, 29, F256, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,256)), using
- discarding factors / shortening the dual code based on linear OA(2569, 256, F256, 9) (dual of [256, 247, 10]-code or 256-arc in PG(8,256)), using
- Reed–Solomon code RS(247,256) [i]
- discarding factors / shortening the dual code based on linear OA(2569, 256, F256, 9) (dual of [256, 247, 10]-code or 256-arc in PG(8,256)), 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(16128, 131130, F16, 28) (dual of [131130, 131002, 29]-code) | [i] | Trace Code | |
| 2 | OA(12874, 65565, S128, 28) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(25664, 32782, F256, 2, 28) (dual of [(32782, 2), 65500, 29]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(25664, 21855, F256, 3, 28) (dual of [(21855, 3), 65501, 29]-NRT-code) | [i] | ||
| 5 | Linear OOA(25664, 16391, F256, 4, 28) (dual of [(16391, 4), 65500, 29]-NRT-code) | [i] | ||
| 6 | Linear OOA(25664, 13113, F256, 5, 28) (dual of [(13113, 5), 65501, 29]-NRT-code) | [i] | ||