Information on Result #613716
Linear OA(573, 15626, F5, 15) (dual of [15626, 15553, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(583, 15651, F5, 15) (dual of [15651, 15568, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(573, 10525, F5, 2, 15) (dual of [(10525, 2), 20977, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(573, 10525, F5, 3, 15) (dual of [(10525, 3), 31502, 16]-NRT-code) | [i] | ||
| 4 | Digital (58, 73, 10525)-net over F5 | [i] | ||
| 5 | Linear OA(580, 15634, F5, 15) (dual of [15634, 15554, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(586, 15639, F5, 17) (dual of [15639, 15553, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(574, 15639, F5, 15) (dual of [15639, 15565, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(5104, 15647, F5, 21) (dual of [15647, 15543, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(5105, 15650, F5, 21) (dual of [15650, 15545, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(5106, 15653, F5, 21) (dual of [15653, 15547, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(5107, 15660, F5, 21) (dual of [15660, 15553, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(5104, 15652, F5, 20) (dual of [15652, 15548, 21]-code) | [i] | ✔ | |
| 13 | Linear OA(5105, 15658, F5, 20) (dual of [15658, 15553, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(5101, 15652, F5, 19) (dual of [15652, 15551, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(5102, 15655, F5, 19) (dual of [15655, 15553, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(577, 15652, F5, 15) (dual of [15652, 15575, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(578, 15655, F5, 15) (dual of [15655, 15577, 16]-code) | [i] | ✔ | |
| 18 | Linear OA(576, 15653, F5, 14) (dual of [15653, 15577, 15]-code) | [i] | ✔ | |
| 19 | Linear OA(5123, 15676, F5, 23) (dual of [15676, 15553, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(5104, 15654, F5, 21) (dual of [15654, 15550, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(5105, 15658, F5, 21) (dual of [15658, 15553, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(5103, 15656, F5, 20) (dual of [15656, 15553, 21]-code) | [i] | ✔ | |
| 23 | Linear OOA(573, 2232, F5, 15, 15) (dual of [(2232, 15), 33407, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |