Information on Result #612971
Linear OA(496, 342, F4, 29) (dual of [342, 246, 30]-code), using an extension Ce(28) of the narrow-sense BCH-code C(I) with length 341 | 45−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29
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(496, 342, F4, 28) (dual of [342, 246, 29]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(497, 343, F4, 29) (dual of [343, 246, 30]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(495, 341, F4, 28) (dual of [341, 246, 29]-code) | [i] | Truncation | |
| 4 | Linear OA(494, 340, F4, 27) (dual of [340, 246, 28]-code) | [i] | ||
| 5 | Linear OA(4101, 347, F4, 30) (dual of [347, 246, 31]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(497, 348, F4, 28) (dual of [348, 251, 29]-code) | [i] | ✔ | |
| 7 | Linear OA(498, 347, F4, 29) (dual of [347, 249, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(499, 350, F4, 29) (dual of [350, 251, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(4107, 353, F4, 31) (dual of [353, 246, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(4100, 356, F4, 29) (dual of [356, 256, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(4104, 351, F4, 30) (dual of [351, 247, 31]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(498, 350, F4, 28) (dual of [350, 252, 29]-code) | [i] | ✔ | |
| 13 | Linear OOA(496, 171, F4, 2, 29) (dual of [(171, 2), 246, 30]-NRT-code) | [i] | OOA Folding | |