Information on Result #613736
Linear OA(597, 390625, F5, 16) (dual of [390625, 390528, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
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(596, 390624, F5, 15) (dual of [390624, 390528, 16]-code) | [i] | Truncation | |
| 2 | Linear OA(5105, 390634, F5, 16) (dual of [390634, 390529, 17]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(5106, 390636, F5, 16) (dual of [390636, 390530, 17]-code) | [i] | ||
| 4 | Linear OA(5107, 390638, F5, 16) (dual of [390638, 390531, 17]-code) | [i] | ||
| 5 | Linear OA(5108, 390641, F5, 16) (dual of [390641, 390533, 17]-code) | [i] | ||
| 6 | Linear OA(5108, 390637, F5, 16) (dual of [390637, 390529, 17]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(5105, 390633, F5, 17) (dual of [390633, 390528, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(598, 390634, F5, 16) (dual of [390634, 390536, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(5114, 390642, F5, 18) (dual of [390642, 390528, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(5100, 390644, F5, 16) (dual of [390644, 390544, 17]-code) | [i] | ✔ | |
| 11 | Linear OA(5124, 390652, F5, 19) (dual of [390652, 390528, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(5101, 390651, F5, 16) (dual of [390651, 390550, 17]-code) | [i] | ✔ | |
| 13 | Linear OA(5102, 390654, F5, 16) (dual of [390654, 390552, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(5100, 390652, F5, 15) (dual of [390652, 390552, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(5137, 390665, F5, 21) (dual of [390665, 390528, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(5134, 390662, F5, 20) (dual of [390662, 390528, 21]-code) | [i] | ✔ | |
| 17 | Linear OA(5105, 390665, F5, 16) (dual of [390665, 390560, 17]-code) | [i] | ✔ | |
| 18 | Linear OA(5147, 390675, F5, 22) (dual of [390675, 390528, 23]-code) | [i] | ✔ | |
| 19 | Linear OA(5107, 390675, F5, 15) (dual of [390675, 390568, 16]-code) | [i] | ✔ | |
| 20 | Linear OA(5136, 390664, F5, 21) (dual of [390664, 390528, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(5104, 390664, F5, 16) (dual of [390664, 390560, 17]-code) | [i] | ✔ | |
| 22 | Linear OA(5146, 390669, F5, 22) (dual of [390669, 390523, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(5108, 390670, F5, 16) (dual of [390670, 390562, 17]-code) | [i] | ✔ | |
| 24 | Linear OA(5106, 390669, F5, 15) (dual of [390669, 390563, 16]-code) | [i] | ✔ | |
| 25 | Linear OA(5146, 390671, F5, 22) (dual of [390671, 390525, 23]-code) | [i] | ✔ | |
| 26 | Linear OA(5106, 390671, F5, 15) (dual of [390671, 390565, 16]-code) | [i] | ✔ | |
| 27 | Linear OA(5146, 390674, F5, 22) (dual of [390674, 390528, 23]-code) | [i] | ✔ | |
| 28 | Linear OA(5106, 390674, F5, 15) (dual of [390674, 390568, 16]-code) | [i] | ✔ | |
| 29 | Linear OA(5136, 390658, F5, 21) (dual of [390658, 390522, 22]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 30 | Linear OA(5135, 390656, F5, 21) (dual of [390656, 390521, 22]-code) | [i] | ✔ | |
| 31 | Linear OA(5133, 390654, F5, 20) (dual of [390654, 390521, 21]-code) | [i] | ✔ | |
| 32 | Linear OA(5123, 390644, F5, 19) (dual of [390644, 390521, 20]-code) | [i] | ✔ | |
| 33 | Linear OA(5128, 390659, F5, 19) (dual of [390659, 390531, 20]-code) | [i] | ✔ | |
| 34 | Linear OA(5127, 390657, F5, 19) (dual of [390657, 390530, 20]-code) | [i] | ✔ | |
| 35 | Linear OA(5126, 390655, F5, 19) (dual of [390655, 390529, 20]-code) | [i] | ✔ | |
| 36 | Linear OA(5116, 390645, F5, 18) (dual of [390645, 390529, 19]-code) | [i] | ✔ | |
| 37 | Linear OA(5107, 390636, F5, 17) (dual of [390636, 390529, 18]-code) | [i] | ✔ | |
| 38 | Linear OA(599, 390636, F5, 16) (dual of [390636, 390537, 17]-code) | [i] | ✔ | |
| 39 | Linear OA(5104, 390658, F5, 16) (dual of [390658, 390554, 17]-code) | [i] | ✔ | |
| 40 | Linear OA(5103, 390656, F5, 16) (dual of [390656, 390553, 17]-code) | [i] | ✔ | |
| 41 | Linear OA(5101, 390654, F5, 15) (dual of [390654, 390553, 16]-code) | [i] | ✔ | |
| 42 | Linear OA(5122, 390651, F5, 18) (dual of [390651, 390529, 19]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 43 | Linear OOA(597, 195312, F5, 2, 16) (dual of [(195312, 2), 390527, 17]-NRT-code) | [i] | OOA Folding | |
| 44 | Linear OOA(597, 130208, F5, 3, 16) (dual of [(130208, 3), 390527, 17]-NRT-code) | [i] | ||
| 45 | Linear OOA(597, 48828, F5, 16, 16) (dual of [(48828, 16), 781151, 17]-NRT-code) | [i] | OA Folding and Stacking | |