Information on Result #613649
Linear OA(573, 1953126, F5, 11) (dual of [1953126, 1953053, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 1953126 | 518−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound)
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(572, 1953125, F5, 10) (dual of [1953125, 1953053, 11]-code) | [i] | Truncation | |
| 2 | Linear OA(579, 1953138, F5, 11) (dual of [1953138, 1953059, 12]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(580, 1953147, F5, 11) (dual of [1953147, 1953067, 12]-code) | [i] | ||
| 4 | Linear OA(578, 1953132, F5, 11) (dual of [1953132, 1953054, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(592, 1953145, F5, 13) (dual of [1953145, 1953053, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(576, 1953132, F5, 11) (dual of [1953132, 1953056, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(577, 1953148, F5, 11) (dual of [1953148, 1953071, 12]-code) | [i] | ✔ | |
| 8 | Linear OA(575, 1953132, F5, 10) (dual of [1953132, 1953057, 11]-code) | [i] | ✔ | |
| 9 | Linear OA(5113, 1953152, F5, 15) (dual of [1953152, 1953039, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(5114, 1953167, F5, 15) (dual of [1953167, 1953053, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(592, 1953146, F5, 13) (dual of [1953146, 1953054, 14]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 12 | Linear OOA(573, 976563, F5, 2, 11) (dual of [(976563, 2), 1953053, 12]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(573, 651042, F5, 3, 11) (dual of [(651042, 3), 1953053, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(573, 390625, F5, 11, 11) (dual of [(390625, 11), 4296802, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |