Information on Result #700478
Linear OA(25658, 65571, F256, 24) (dual of [65571, 65513, 25]-code), using construction X applied to Ce(23) ⊂ Ce(11) based on
- linear OA(25647, 65536, F256, 24) (dual of [65536, 65489, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(25623, 65536, F256, 12) (dual of [65536, 65513, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(25611, 35, F256, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,256)), using
- discarding factors / shortening the dual code based on linear OA(25611, 256, F256, 11) (dual of [256, 245, 12]-code or 256-arc in PG(10,256)), using
- Reed–Solomon code RS(245,256) [i]
- discarding factors / shortening the dual code based on linear OA(25611, 256, F256, 11) (dual of [256, 245, 12]-code or 256-arc in PG(10,256)), 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 | OA(12867, 65571, S128, 24) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(25658, 61627, F256, 2, 24) (dual of [(61627, 2), 123196, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(25658, 61627, F256, 3, 24) (dual of [(61627, 3), 184823, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(25658, 61627, F256, 4, 24) (dual of [(61627, 4), 246450, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(25658, 61627, F256, 5, 24) (dual of [(61627, 5), 308077, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(25658, 61627, F256, 6, 24) (dual of [(61627, 6), 369704, 25]-NRT-code) | [i] | ||
| 7 | Digital (34, 58, 61627)-net over F256 | [i] | ||
| 8 | Linear OOA(25658, 32785, F256, 2, 24) (dual of [(32785, 2), 65512, 25]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(25658, 21857, F256, 3, 24) (dual of [(21857, 3), 65513, 25]-NRT-code) | [i] | ||
| 10 | Linear OOA(25658, 13114, F256, 5, 24) (dual of [(13114, 5), 65512, 25]-NRT-code) | [i] | ||