Information on Result #699704
Linear OA(12843, 2097152, F128, 15) (dual of [2097152, 2097109, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
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(12846, 2097155, F128, 16) (dual of [2097155, 2097109, 17]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(12843, 2097155, F128, 15) (dual of [2097155, 2097112, 16]-code) | [i] | ✔ | |
| 3 | Linear OA(12854, 2097163, F128, 18) (dual of [2097163, 2097109, 19]-code) | [i] | ✔ | |
| 4 | Linear OA(12845, 2097163, F128, 15) (dual of [2097163, 2097118, 16]-code) | [i] | ✔ | |
| 5 | Linear OA(12862, 2097171, F128, 20) (dual of [2097171, 2097109, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(12847, 2097171, F128, 15) (dual of [2097171, 2097124, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(12870, 2097179, F128, 22) (dual of [2097179, 2097109, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(12849, 2097179, F128, 15) (dual of [2097179, 2097130, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(12878, 2097187, F128, 24) (dual of [2097187, 2097109, 25]-code) | [i] | ✔ | |
| 10 | Linear OOA(12843, 524288, F128, 4, 15) (dual of [(524288, 4), 2097109, 16]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(12843, 299593, F128, 15, 15) (dual of [(299593, 15), 4493852, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |