Information on Result #699712
Linear OA(12828, 2097155, F128, 10) (dual of [2097155, 2097127, 11]-code), using construction X applied to Ce(9) ⊂ Ce(8) based on
- linear OA(12828, 2097152, F128, 10) (dual of [2097152, 2097124, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(12825, 2097152, F128, 9) (dual of [2097152, 2097127, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(1649, 2097155, S16, 10) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3240, 2097155, S32, 10) | [i] | ||
| 3 | OA(6433, 2097155, S64, 10) | [i] | ||
| 4 | Linear OA(12833, 2097284, F128, 10) (dual of [2097284, 2097251, 11]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(12834, 2097305, F128, 10) (dual of [2097305, 2097271, 11]-code) | [i] | ||
| 6 | Linear OA(12835, 2113412, F128, 10) (dual of [2113412, 2113377, 11]-code) | [i] | ||
| 7 | Linear OOA(12828, 1048577, F128, 2, 10) (dual of [(1048577, 2), 2097126, 11]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(12828, 699051, F128, 3, 10) (dual of [(699051, 3), 2097125, 11]-NRT-code) | [i] | ||
| 9 | Linear OOA(12828, 419431, F128, 10, 10) (dual of [(419431, 10), 4194282, 11]-NRT-code) | [i] | OA Folding and Stacking | |