Information on Result #700360
Linear OA(25643, 65544, F256, 21) (dual of [65544, 65501, 22]-code), using construction X applied to Ce(20) ⊂ Ce(17) based on
- 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(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(2562, 8, F256, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,256)), using
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- Reed–Solomon code RS(254,256) [i]
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), 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(1686, 131088, F16, 21) (dual of [131088, 131002, 22]-code) | [i] | Trace Code | |
| 2 | OA(3269, 65544, S32, 21) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(25643, 32772, F256, 2, 21) (dual of [(32772, 2), 65501, 22]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(25643, 21848, F256, 3, 21) (dual of [(21848, 3), 65501, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(25643, 16386, F256, 4, 21) (dual of [(16386, 4), 65501, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(25643, 10924, F256, 6, 21) (dual of [(10924, 6), 65501, 22]-NRT-code) | [i] | ||