Information on Result #614323
Linear OA(737, 2401, F7, 11) (dual of [2401, 2364, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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 OOA(737, 1655, F7, 2, 11) (dual of [(1655, 2), 3273, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(737, 1655, F7, 3, 11) (dual of [(1655, 3), 4928, 12]-NRT-code) | [i] | ||
| 3 | Digital (26, 37, 1655)-net over F7 | [i] | ||
| 4 | Linear OA(741, 2405, F7, 12) (dual of [2405, 2364, 13]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(737, 2405, F7, 11) (dual of [2405, 2368, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(746, 2410, F7, 13) (dual of [2410, 2364, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(738, 2410, F7, 11) (dual of [2410, 2372, 12]-code) | [i] | ✔ | |
| 8 | Linear OA(753, 2417, F7, 15) (dual of [2417, 2364, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(740, 2416, F7, 11) (dual of [2416, 2376, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(759, 2423, F7, 16) (dual of [2423, 2364, 17]-code) | [i] | ✔ | |
| 11 | Linear OA(764, 2428, F7, 17) (dual of [2428, 2364, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(769, 2430, F7, 18) (dual of [2430, 2361, 19]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(765, 2430, F7, 17) (dual of [2430, 2365, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(758, 2419, F7, 16) (dual of [2419, 2361, 17]-code) | [i] | ✔ | |
| 15 | Linear OA(751, 2412, F7, 14) (dual of [2412, 2361, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(754, 2419, F7, 15) (dual of [2419, 2365, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(747, 2412, F7, 13) (dual of [2412, 2365, 14]-code) | [i] | ✔ | |
| 18 | Linear OA(739, 2412, F7, 11) (dual of [2412, 2373, 12]-code) | [i] | ✔ | |
| 19 | Linear OOA(737, 480, F7, 11, 11) (dual of [(480, 11), 5243, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |