Information on Result #612708
Linear OA(473, 65536, F4, 13) (dual of [65536, 65463, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(472, 65535, F4, 12) (dual of [65535, 65463, 13]-code) | [i] | Truncation | |
| 2 | Linear OA(479, 65543, F4, 13) (dual of [65543, 65464, 14]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(480, 65545, F4, 13) (dual of [65545, 65465, 14]-code) | [i] | ||
| 4 | Linear OA(481, 65553, F4, 13) (dual of [65553, 65472, 14]-code) | [i] | ||
| 5 | Linear OA(481, 65544, F4, 14) (dual of [65544, 65463, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(474, 65545, F4, 13) (dual of [65545, 65471, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(490, 65553, F4, 15) (dual of [65553, 65463, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(474, 65553, F4, 12) (dual of [65553, 65479, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(476, 65555, F4, 13) (dual of [65555, 65479, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(4102, 65565, F4, 17) (dual of [65565, 65463, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(4100, 65557, F4, 16) (dual of [65557, 65457, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(478, 65565, F4, 13) (dual of [65565, 65487, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(476, 65557, F4, 12) (dual of [65557, 65481, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(4112, 65575, F4, 18) (dual of [65575, 65463, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(480, 65575, F4, 12) (dual of [65575, 65495, 13]-code) | [i] | ✔ | |
| 16 | Linear OA(4123, 65586, F4, 19) (dual of [65586, 65463, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(4134, 65597, F4, 20) (dual of [65597, 65463, 21]-code) | [i] | ✔ | |
| 18 | Linear OA(4122, 65585, F4, 19) (dual of [65585, 65463, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(4135, 65598, F4, 21) (dual of [65598, 65463, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(4111, 65567, F4, 18) (dual of [65567, 65456, 19]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(4101, 65557, F4, 17) (dual of [65557, 65456, 18]-code) | [i] | ✔ | |
| 22 | Linear OA(4105, 65570, F4, 17) (dual of [65570, 65465, 18]-code) | [i] | ✔ | |
| 23 | Linear OA(4104, 65568, F4, 17) (dual of [65568, 65464, 18]-code) | [i] | ✔ | |
| 24 | Linear OA(493, 65558, F4, 15) (dual of [65558, 65465, 16]-code) | [i] | ✔ | |
| 25 | Linear OA(483, 65547, F4, 14) (dual of [65547, 65464, 15]-code) | [i] | ✔ | |
| 26 | Linear OA(475, 65547, F4, 13) (dual of [65547, 65472, 14]-code) | [i] | ✔ | |
| 27 | Linear OA(477, 65557, F4, 13) (dual of [65557, 65480, 14]-code) | [i] | ✔ | |
| 28 | Linear OA(481, 65570, F4, 13) (dual of [65570, 65489, 14]-code) | [i] | ✔ | |
| 29 | Linear OA(480, 65568, F4, 13) (dual of [65568, 65488, 14]-code) | [i] | ✔ | |
| 30 | Linear OA(490, 65554, F4, 15) (dual of [65554, 65464, 16]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 31 | Linear OA(474, 65554, F4, 12) (dual of [65554, 65480, 13]-code) | [i] | ✔ | |
| 32 | Linear OOA(473, 32768, F4, 2, 13) (dual of [(32768, 2), 65463, 14]-NRT-code) | [i] | OOA Folding | |
| 33 | Linear OOA(473, 21845, F4, 3, 13) (dual of [(21845, 3), 65462, 14]-NRT-code) | [i] | ||
| 34 | Linear OOA(473, 10922, F4, 13, 13) (dual of [(10922, 13), 141913, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |