Information on Result #678632
Linear OA(497, 65536, F4, 17) (dual of [65536, 65439, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(4105, 65544, F4, 18) (dual of [65544, 65439, 19]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(498, 65545, F4, 17) (dual of [65545, 65447, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(498, 65553, F4, 16) (dual of [65553, 65455, 17]-code) | [i] | ✔ | |
| 4 | Linear OA(4100, 65555, F4, 17) (dual of [65555, 65455, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(4126, 65565, F4, 21) (dual of [65565, 65439, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(4124, 65557, F4, 20) (dual of [65557, 65433, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(4102, 65565, F4, 17) (dual of [65565, 65463, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(4100, 65557, F4, 16) (dual of [65557, 65457, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(4136, 65575, F4, 22) (dual of [65575, 65439, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(4147, 65586, F4, 23) (dual of [65586, 65439, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(4107, 65586, F4, 16) (dual of [65586, 65479, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(4146, 65585, F4, 23) (dual of [65585, 65439, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(4106, 65585, F4, 16) (dual of [65585, 65479, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(4171, 65604, F4, 26) (dual of [65604, 65433, 27]-code) | [i] | ✔ | |
| 15 | Linear OA(4135, 65567, F4, 22) (dual of [65567, 65432, 23]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(4125, 65557, F4, 21) (dual of [65557, 65432, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(4123, 65555, F4, 20) (dual of [65555, 65432, 21]-code) | [i] | ✔ | |
| 18 | Linear OA(4129, 65570, F4, 21) (dual of [65570, 65441, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(4128, 65568, F4, 21) (dual of [65568, 65440, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(4117, 65558, F4, 19) (dual of [65558, 65441, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(4107, 65547, F4, 18) (dual of [65547, 65440, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(499, 65547, F4, 17) (dual of [65547, 65448, 18]-code) | [i] | ✔ | |
| 23 | Linear OA(4101, 65557, F4, 17) (dual of [65557, 65456, 18]-code) | [i] | ✔ | |
| 24 | Linear OA(4105, 65570, F4, 17) (dual of [65570, 65465, 18]-code) | [i] | ✔ | |
| 25 | Linear OA(4104, 65568, F4, 17) (dual of [65568, 65464, 18]-code) | [i] | ✔ | |
| 26 | Linear OA(498, 65554, F4, 16) (dual of [65554, 65456, 17]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 27 | Linear OOA(497, 32768, F4, 2, 17) (dual of [(32768, 2), 65439, 18]-NRT-code) | [i] | OOA Folding | |
| 28 | Linear OOA(497, 21845, F4, 3, 17) (dual of [(21845, 3), 65438, 18]-NRT-code) | [i] | ||