Information on Result #736063
Linear OA(25623, 130818, F256, 9) (dual of [130818, 130795, 10]-code), using (u, u+v)-construction based on
- linear OA(2566, 65280, F256, 4) (dual of [65280, 65274, 5]-code), using
- 1 times truncation [i] based on linear OA(2567, 65281, F256, 5) (dual of [65281, 65274, 6]-code), using
- linear OA(25617, 65538, F256, 9) (dual of [65538, 65521, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(25617, 65536, F256, 9) (dual of [65536, 65519, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(25615, 65536, F256, 8) (dual of [65536, 65521, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,7], 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 Ce(8) ⊂ Ce(7) [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(25623, 130818, F256, 2, 9) (dual of [(130818, 2), 261613, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25623, 130818, F256, 3, 9) (dual of [(130818, 3), 392431, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(25623, 130818, F256, 4, 9) (dual of [(130818, 4), 523249, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(25623, 130818, F256, 5, 9) (dual of [(130818, 5), 654067, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(25623, 130818, F256, 6, 9) (dual of [(130818, 6), 784885, 10]-NRT-code) | [i] | ||
| 6 | Digital (14, 23, 130818)-net over F256 | [i] | ||
| 7 | Linear OOA(25623, 65409, F256, 2, 9) (dual of [(65409, 2), 130795, 10]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(25623, 43606, F256, 3, 9) (dual of [(43606, 3), 130795, 10]-NRT-code) | [i] | ||