Information on Result #617468
Linear OA(2745, 531441, F27, 12) (dual of [531441, 531396, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(2751, 531469, F27, 12) (dual of [531469, 531418, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2752, 531479, F27, 12) (dual of [531479, 531427, 13]-code) | [i] | ||
| 3 | Linear OA(2753, 531489, F27, 12) (dual of [531489, 531436, 13]-code) | [i] | ||
| 4 | Linear OA(2754, 531497, F27, 12) (dual of [531497, 531443, 13]-code) | [i] | ||
| 5 | Linear OA(2755, 531546, F27, 12) (dual of [531546, 531491, 13]-code) | [i] | ||
| 6 | Linear OOA(2745, 345938, F27, 2, 12) (dual of [(345938, 2), 691831, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Digital (33, 45, 345938)-net over F27 | [i] | ||
| 8 | Linear OA(2754, 531451, F27, 12) (dual of [531451, 531397, 13]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(2755, 531497, F27, 12) (dual of [531497, 531442, 13]-code) | [i] | ||
| 10 | Linear OA(2749, 531445, F27, 13) (dual of [531445, 531396, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(2745, 531445, F27, 12) (dual of [531445, 531400, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(2754, 531450, F27, 14) (dual of [531450, 531396, 15]-code) | [i] | ✔ | |
| 13 | Linear OA(2746, 531450, F27, 12) (dual of [531450, 531404, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(2759, 531455, F27, 15) (dual of [531455, 531396, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(2747, 531455, F27, 12) (dual of [531455, 531408, 13]-code) | [i] | ✔ | |
| 16 | Linear OA(2764, 531460, F27, 16) (dual of [531460, 531396, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(2748, 531460, F27, 12) (dual of [531460, 531412, 13]-code) | [i] | ✔ | |
| 18 | Linear OA(2769, 531465, F27, 17) (dual of [531465, 531396, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(2749, 531465, F27, 12) (dual of [531465, 531416, 13]-code) | [i] | ✔ | |
| 20 | Linear OA(2774, 531469, F27, 18) (dual of [531469, 531395, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(2775, 531471, F27, 18) (dual of [531471, 531396, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(2750, 531469, F27, 12) (dual of [531469, 531419, 13]-code) | [i] | ✔ | |
| 23 | Linear OA(2751, 531471, F27, 12) (dual of [531471, 531420, 13]-code) | [i] | ✔ | |
| 24 | Linear OA(2780, 531476, F27, 19) (dual of [531476, 531396, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(2785, 531479, F27, 20) (dual of [531479, 531394, 21]-code) | [i] | ✔ | |
| 26 | Linear OA(2786, 531482, F27, 20) (dual of [531482, 531396, 21]-code) | [i] | ✔ | |
| 27 | Linear OA(2791, 531487, F27, 21) (dual of [531487, 531396, 22]-code) | [i] | ✔ | |
| 28 | Linear OA(2796, 531489, F27, 22) (dual of [531489, 531393, 23]-code) | [i] | ✔ | |
| 29 | Linear OA(2797, 531493, F27, 22) (dual of [531493, 531396, 23]-code) | [i] | ✔ | |
| 30 | Linear OA(27103, 531499, F27, 23) (dual of [531499, 531396, 24]-code) | [i] | ✔ | |
| 31 | Linear OA(27108, 531504, F27, 24) (dual of [531504, 531396, 25]-code) | [i] | ✔ | |