Information on Result #611786
Linear OA(381, 6561, F3, 16) (dual of [6561, 6480, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, 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(380, 6560, F3, 15) (dual of [6560, 6480, 16]-code) | [i] | Truncation | |
| 2 | Linear OA(389, 6570, F3, 16) (dual of [6570, 6481, 17]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(389, 6569, F3, 17) (dual of [6569, 6480, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(382, 6570, F3, 16) (dual of [6570, 6488, 17]-code) | [i] | ✔ | |
| 5 | Linear OA(398, 6578, F3, 18) (dual of [6578, 6480, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(3100, 6574, F3, 19) (dual of [6574, 6474, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(3101, 6581, F3, 19) (dual of [6581, 6480, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(384, 6574, F3, 16) (dual of [6574, 6490, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(385, 6581, F3, 16) (dual of [6581, 6496, 17]-code) | [i] | ✔ | |
| 10 | Linear OA(3111, 6591, F3, 20) (dual of [6591, 6480, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(388, 6588, F3, 16) (dual of [6588, 6500, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(389, 6593, F3, 16) (dual of [6593, 6504, 17]-code) | [i] | ✔ | |
| 13 | Linear OA(387, 6591, F3, 15) (dual of [6591, 6504, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(3123, 6597, F3, 22) (dual of [6597, 6474, 23]-code) | [i] | ✔ | |
| 15 | Linear OA(3124, 6602, F3, 22) (dual of [6602, 6478, 23]-code) | [i] | ✔ | |
| 16 | Linear OA(3125, 6605, F3, 22) (dual of [6605, 6480, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(3121, 6601, F3, 21) (dual of [6601, 6480, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(3123, 6600, F3, 22) (dual of [6600, 6477, 23]-code) | [i] | ✔ | |
| 19 | Linear OA(3124, 6604, F3, 22) (dual of [6604, 6480, 23]-code) | [i] | ✔ | |
| 20 | Linear OA(3122, 6595, F3, 22) (dual of [6595, 6473, 23]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(3120, 6593, F3, 21) (dual of [6593, 6473, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(3110, 6583, F3, 20) (dual of [6583, 6473, 21]-code) | [i] | ✔ | |
| 23 | Linear OA(3114, 6596, F3, 20) (dual of [6596, 6482, 21]-code) | [i] | ✔ | |
| 24 | Linear OA(3113, 6594, F3, 20) (dual of [6594, 6481, 21]-code) | [i] | ✔ | |
| 25 | Linear OA(399, 6572, F3, 19) (dual of [6572, 6473, 20]-code) | [i] | ✔ | |
| 26 | Linear OA(3102, 6585, F3, 18) (dual of [6585, 6483, 19]-code) | [i] | ✔ | |
| 27 | Linear OA(3101, 6583, F3, 18) (dual of [6583, 6482, 19]-code) | [i] | ✔ | |
| 28 | Linear OA(3100, 6581, F3, 18) (dual of [6581, 6481, 19]-code) | [i] | ✔ | |
| 29 | Linear OA(391, 6572, F3, 17) (dual of [6572, 6481, 18]-code) | [i] | ✔ | |
| 30 | Linear OA(383, 6572, F3, 16) (dual of [6572, 6489, 17]-code) | [i] | ✔ | |
| 31 | Linear OA(386, 6585, F3, 15) (dual of [6585, 6499, 16]-code) | [i] | ✔ | |
| 32 | Linear OA(387, 6584, F3, 16) (dual of [6584, 6497, 17]-code) | [i] | ✔ | |
| 33 | Linear OA(388, 6593, F3, 15) (dual of [6593, 6505, 16]-code) | [i] | ✔ | |
| 34 | Linear OOA(381, 3280, F3, 2, 16) (dual of [(3280, 2), 6479, 17]-NRT-code) | [i] | OOA Folding | |
| 35 | Linear OOA(381, 2187, F3, 3, 16) (dual of [(2187, 3), 6480, 17]-NRT-code) | [i] | ||
| 36 | Linear OOA(381, 1640, F3, 4, 16) (dual of [(1640, 4), 6479, 17]-NRT-code) | [i] | ||
| 37 | Linear OOA(381, 1312, F3, 5, 16) (dual of [(1312, 5), 6479, 17]-NRT-code) | [i] | ||
| 38 | Linear OOA(381, 820, F3, 16, 16) (dual of [(820, 16), 13039, 17]-NRT-code) | [i] | OA Folding and Stacking | |