Information on Result #619667
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
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(12876, 2097155, F128, 26) (dual of [2097155, 2097079, 27]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(12877, 2097159, F128, 26) (dual of [2097159, 2097082, 27]-code) | [i] | ✔ | |
| 3 | Linear OA(12878, 2097163, F128, 26) (dual of [2097163, 2097085, 27]-code) | [i] | ✔ | |
| 4 | Linear OOA(12876, 524288, F128, 4, 26) (dual of [(524288, 4), 2097076, 27]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(12876, 161319, F128, 26, 26) (dual of [(161319, 26), 4194218, 27]-NRT-code) | [i] | OA Folding and Stacking | |