Information on Result #699709
Linear OA(12834, 2097155, F128, 12) (dual of [2097155, 2097121, 13]-code), using construction X applied to Ce(11) ⊂ Ce(10) based on
- linear OA(12834, 2097152, F128, 12) (dual of [2097152, 2097118, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(12831, 2097152, F128, 11) (dual of [2097152, 2097121, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 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 | OA(1660, 2097155, S16, 12) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3248, 2097155, S32, 12) | [i] | ||
| 3 | OA(6440, 2097155, S64, 12) | [i] | ||
| 4 | Linear OA(12840, 2097284, F128, 12) (dual of [2097284, 2097244, 13]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(12841, 2097305, F128, 12) (dual of [2097305, 2097264, 13]-code) | [i] | ||
| 6 | Linear OA(12842, 2097307, F128, 12) (dual of [2097307, 2097265, 13]-code) | [i] | ||
| 7 | Linear OA(12843, 2097413, F128, 12) (dual of [2097413, 2097370, 13]-code) | [i] | ||
| 8 | Linear OA(12844, 2097540, F128, 12) (dual of [2097540, 2097496, 13]-code) | [i] | ||
| 9 | Linear OOA(12834, 1048577, F128, 2, 12) (dual of [(1048577, 2), 2097120, 13]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(12834, 699051, F128, 3, 12) (dual of [(699051, 3), 2097119, 13]-NRT-code) | [i] | ||