Information on Result #615070
Linear OA(8162, 2097152, F8, 27) (dual of [2097152, 2096990, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
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(8169, 2097159, F8, 28) (dual of [2097159, 2096990, 29]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8162, 2097159, F8, 27) (dual of [2097159, 2096997, 28]-code) | [i] | ✔ | |
| 3 | Linear OA(8163, 2097167, F8, 27) (dual of [2097167, 2097004, 28]-code) | [i] | ✔ | |
| 4 | Linear OA(8166, 2097177, F8, 27) (dual of [2097177, 2097011, 28]-code) | [i] | ✔ | |
| 5 | Linear OA(8168, 2097186, F8, 27) (dual of [2097186, 2097018, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(8169, 2097194, F8, 27) (dual of [2097194, 2097025, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(8173, 2097205, F8, 27) (dual of [2097205, 2097032, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(8172, 2097204, F8, 27) (dual of [2097204, 2097032, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(8165, 2097170, F8, 27) (dual of [2097170, 2097005, 28]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(8167, 2097179, F8, 27) (dual of [2097179, 2097012, 28]-code) | [i] | ✔ | |
| 11 | Linear OOA(8162, 161319, F8, 27, 27) (dual of [(161319, 27), 4355451, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |