Information on Result #700313
Linear OA(25633, 65538, F256, 17) (dual of [65538, 65505, 18]-code), using construction X applied to Ce(16) ⊂ Ce(15) 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), 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
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(1666, 131076, F16, 17) (dual of [131076, 131010, 18]-code) | [i] | Trace Code | |
| 2 | OA(3253, 65538, S32, 17) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6444, 65538, S64, 17) | [i] | ||
| 4 | OA(12838, 65538, S128, 17) | [i] | ||
| 5 | Linear OA(25641, 65795, F256, 17) (dual of [65795, 65754, 18]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25642, 65798, F256, 17) (dual of [65798, 65756, 18]-code) | [i] | ||
| 7 | Linear OA(25643, 65800, F256, 17) (dual of [65800, 65757, 18]-code) | [i] | ||
| 8 | Linear OA(25644, 65802, F256, 17) (dual of [65802, 65758, 18]-code) | [i] | ||
| 9 | Linear OA(25645, 66052, F256, 17) (dual of [66052, 66007, 18]-code) | [i] | ||
| 10 | Linear OA(25646, 66311, F256, 17) (dual of [66311, 66265, 18]-code) | [i] | ||
| 11 | Linear OA(25647, 66823, F256, 17) (dual of [66823, 66776, 18]-code) | [i] | ||
| 12 | Linear OA(25648, 131076, F256, 17) (dual of [131076, 131028, 18]-code) | [i] | ||
| 13 | Linear OA(25642, 65827, F256, 17) (dual of [65827, 65785, 18]-code) | [i] | ||
| 14 | Linear OOA(25633, 32769, F256, 2, 17) (dual of [(32769, 2), 65505, 18]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(25633, 21846, F256, 3, 17) (dual of [(21846, 3), 65505, 18]-NRT-code) | [i] | ||
| 16 | Linear OOA(25633, 10923, F256, 6, 17) (dual of [(10923, 6), 65505, 18]-NRT-code) | [i] | ||