Information on Result #612575
Linear OA(428, 262144, F4, 5) (dual of [262144, 262116, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5
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(430, 262149, F4, 5) (dual of [262149, 262119, 6]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(428, 158781, F4, 2, 5) (dual of [(158781, 2), 317534, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(428, 158781, F4, 3, 5) (dual of [(158781, 3), 476315, 6]-NRT-code) | [i] | ||
| 4 | Digital (23, 28, 158781)-net over F4 | [i] | ||
| 5 | Linear OA(437, 262153, F4, 6) (dual of [262153, 262116, 7]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(429, 262154, F4, 5) (dual of [262154, 262125, 6]-code) | [i] | ✔ | |
| 7 | Linear OA(447, 262163, F4, 7) (dual of [262163, 262116, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(460, 262176, F4, 9) (dual of [262176, 262116, 10]-code) | [i] | ✔ | |
| 9 | Linear OA(458, 262167, F4, 8) (dual of [262167, 262109, 9]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(450, 262168, F4, 7) (dual of [262168, 262118, 8]-code) | [i] | ✔ | |
| 11 | Linear OA(438, 262155, F4, 6) (dual of [262155, 262117, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(429, 262155, F4, 5) (dual of [262155, 262126, 6]-code) | [i] | ✔ | |
| 13 | Linear OA(447, 262164, F4, 7) (dual of [262164, 262117, 8]-code) | [i] | ✔ | |
| 14 | Linear OOA(428, 131072, F4, 2, 5) (dual of [(131072, 2), 262116, 6]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(428, 131071, F4, 3, 5) (dual of [(131071, 3), 393185, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 16 | Linear OOA(428, 131071, F4, 5, 5) (dual of [(131071, 5), 655327, 6]-NRT-code) | [i] | ||