Information on Result #700363
Linear OA(25637, 65544, F256, 18) (dual of [65544, 65507, 19]-code), using construction X applied to Ce(17) ⊂ Ce(14) based on
- 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(25629, 65536, F256, 15) (dual of [65536, 65507, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(1674, 131088, F16, 18) (dual of [131088, 131014, 19]-code) | [i] | Trace Code | |
| 2 | OA(3260, 65544, S32, 18) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6450, 65544, S64, 18) | [i] | ||
| 4 | OA(12843, 65544, S128, 18) | [i] | ||
| 5 | Linear OA(25647, 65804, F256, 18) (dual of [65804, 65757, 19]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OOA(25637, 32772, F256, 2, 18) (dual of [(32772, 2), 65507, 19]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(25637, 21848, F256, 3, 18) (dual of [(21848, 3), 65507, 19]-NRT-code) | [i] | ||
| 8 | Linear OOA(25637, 16386, F256, 4, 18) (dual of [(16386, 4), 65507, 19]-NRT-code) | [i] | ||
| 9 | Linear OOA(25637, 10924, F256, 6, 18) (dual of [(10924, 6), 65507, 19]-NRT-code) | [i] | ||