Information on Result #699710
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
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(12834, 2097155, F128, 12) (dual of [2097155, 2097121, 13]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(12831, 2097155, F128, 11) (dual of [2097155, 2097124, 12]-code) | [i] | ✔ | |
| 3 | Linear OA(12842, 2097163, F128, 14) (dual of [2097163, 2097121, 15]-code) | [i] | ✔ | |
| 4 | Linear OA(12833, 2097163, F128, 11) (dual of [2097163, 2097130, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(12850, 2097171, F128, 16) (dual of [2097171, 2097121, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(12835, 2097171, F128, 11) (dual of [2097171, 2097136, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(12858, 2097179, F128, 18) (dual of [2097179, 2097121, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(12866, 2097187, F128, 20) (dual of [2097187, 2097121, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(12874, 2097195, F128, 22) (dual of [2097195, 2097121, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(12832, 2097163, F128, 10) (dual of [2097163, 2097131, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 11 | Linear OOA(12831, 524288, F128, 4, 11) (dual of [(524288, 4), 2097121, 12]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(12831, 419430, F128, 11, 11) (dual of [(419430, 11), 4613699, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |