Information on Result #736004
Linear OA(25646, 66311, F256, 17) (dual of [66311, 66265, 18]-code), using (u, u+v)-construction based on
- linear OA(25613, 773, F256, 8) (dual of [773, 760, 9]-code), using
- construction X applied to C([253,260]) ⊂ C([254,260]) [i] based on
- linear OA(25613, 771, F256, 8) (dual of [771, 758, 9]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {253,254,…,260}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(25611, 771, F256, 7) (dual of [771, 760, 8]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {254,255,…,260}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to C([253,260]) ⊂ C([254,260]) [i] based on
- linear OA(25633, 65538, F256, 17) (dual of [65538, 65505, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(25633, 65536, F256, 17) (dual of [65536, 65503, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code) (see above)
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
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 OOA(25646, 33155, F256, 2, 17) (dual of [(33155, 2), 66264, 18]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25646, 22103, F256, 3, 17) (dual of [(22103, 3), 66263, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(25646, 13262, F256, 5, 17) (dual of [(13262, 5), 66264, 18]-NRT-code) | [i] | ||