Information on Result #679047
Linear OA(485, 16384, F4, 17) (dual of [16384, 16299, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, 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(492, 16391, F4, 18) (dual of [16391, 16299, 19]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(486, 16392, F4, 17) (dual of [16392, 16306, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(486, 16399, F4, 16) (dual of [16399, 16313, 17]-code) | [i] | ✔ | |
| 4 | Linear OA(488, 16401, F4, 17) (dual of [16401, 16313, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(4111, 16410, F4, 21) (dual of [16410, 16299, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(4109, 16405, F4, 20) (dual of [16405, 16296, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(490, 16410, F4, 17) (dual of [16410, 16320, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(488, 16405, F4, 16) (dual of [16405, 16317, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(4120, 16419, F4, 22) (dual of [16419, 16299, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(4130, 16429, F4, 23) (dual of [16429, 16299, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(495, 16429, F4, 16) (dual of [16429, 16334, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(4152, 16448, F4, 26) (dual of [16448, 16296, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(4129, 16428, F4, 23) (dual of [16428, 16299, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(496, 16426, F4, 17) (dual of [16426, 16330, 18]-code) | [i] | ✔ | |
| 15 | Linear OA(494, 16428, F4, 16) (dual of [16428, 16334, 17]-code) | [i] | ✔ | |
| 16 | Linear OA(4151, 16447, F4, 26) (dual of [16447, 16296, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(4152, 16451, F4, 26) (dual of [16451, 16299, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(4119, 16412, F4, 22) (dual of [16412, 16293, 23]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(4110, 16403, F4, 21) (dual of [16403, 16293, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(4108, 16401, F4, 20) (dual of [16401, 16293, 21]-code) | [i] | ✔ | |
| 21 | Linear OA(4115, 16417, F4, 21) (dual of [16417, 16302, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(4114, 16415, F4, 21) (dual of [16415, 16301, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(4113, 16413, F4, 21) (dual of [16413, 16300, 22]-code) | [i] | ✔ | |
| 24 | Linear OA(4103, 16404, F4, 19) (dual of [16404, 16301, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(494, 16394, F4, 18) (dual of [16394, 16300, 19]-code) | [i] | ✔ | |
| 26 | Linear OA(487, 16394, F4, 17) (dual of [16394, 16307, 18]-code) | [i] | ✔ | |
| 27 | Linear OA(489, 16403, F4, 17) (dual of [16403, 16314, 18]-code) | [i] | ✔ | |
| 28 | Linear OA(487, 16401, F4, 16) (dual of [16401, 16314, 17]-code) | [i] | ✔ | |
| 29 | Linear OA(494, 16417, F4, 17) (dual of [16417, 16323, 18]-code) | [i] | ✔ | |
| 30 | Linear OA(493, 16415, F4, 17) (dual of [16415, 16322, 18]-code) | [i] | ✔ | |
| 31 | Linear OA(492, 16413, F4, 17) (dual of [16413, 16321, 18]-code) | [i] | ✔ | |
| 32 | Linear OOA(485, 8192, F4, 2, 17) (dual of [(8192, 2), 16299, 18]-NRT-code) | [i] | OOA Folding | |
| 33 | Linear OOA(485, 5461, F4, 3, 17) (dual of [(5461, 3), 16298, 18]-NRT-code) | [i] | ||