Information on Result #699688
Linear OA(12876, 2097155, F128, 26) (dual of [2097155, 2097079, 27]-code), using construction X applied to Ce(25) ⊂ Ce(24) based on
- linear OA(12876, 2097152, F128, 26) (dual of [2097152, 2097076, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(12873, 2097152, F128, 25) (dual of [2097152, 2097079, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(32107, 2097155, S32, 26) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(6489, 2097155, S64, 26) | [i] | ||
| 3 | Linear OOA(12876, 1048577, F128, 2, 26) (dual of [(1048577, 2), 2097078, 27]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(12876, 699051, F128, 3, 26) (dual of [(699051, 3), 2097077, 27]-NRT-code) | [i] | ||