Information on Result #612865
Linear OA(4106, 16384, F4, 21) (dual of [16384, 16278, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
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(4105, 16383, F4, 20) (dual of [16383, 16278, 21]-code) | [i] | Truncation | |
| 2 | Linear OA(4116, 16395, F4, 21) (dual of [16395, 16279, 22]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4118, 16400, F4, 21) (dual of [16400, 16282, 22]-code) | [i] | ||
| 4 | Linear OA(4120, 16413, F4, 21) (dual of [16413, 16293, 22]-code) | [i] | ||
| 5 | Linear OA(4113, 16391, F4, 22) (dual of [16391, 16278, 23]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(4107, 16392, F4, 21) (dual of [16392, 16285, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(4121, 16399, F4, 23) (dual of [16399, 16278, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(4107, 16399, F4, 20) (dual of [16399, 16292, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(4109, 16401, F4, 21) (dual of [16401, 16292, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(4132, 16410, F4, 25) (dual of [16410, 16278, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(4130, 16405, F4, 24) (dual of [16405, 16275, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(4111, 16410, F4, 21) (dual of [16410, 16299, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(4109, 16405, F4, 20) (dual of [16405, 16296, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(4141, 16419, F4, 26) (dual of [16419, 16278, 27]-code) | [i] | ✔ | |
| 15 | Linear OA(4116, 16422, F4, 21) (dual of [16422, 16306, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(4113, 16419, F4, 20) (dual of [16419, 16306, 21]-code) | [i] | ✔ | |
| 17 | Linear OA(4151, 16429, F4, 27) (dual of [16429, 16278, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(4119, 16432, F4, 21) (dual of [16432, 16313, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(4116, 16429, F4, 20) (dual of [16429, 16313, 21]-code) | [i] | ✔ | |
| 20 | Linear OA(4164, 16442, F4, 29) (dual of [16442, 16278, 30]-code) | [i] | ✔ | |
| 21 | Linear OA(4161, 16439, F4, 28) (dual of [16439, 16278, 29]-code) | [i] | ✔ | |
| 22 | Linear OA(4119, 16439, F4, 20) (dual of [16439, 16320, 21]-code) | [i] | ✔ | |
| 23 | Linear OA(4173, 16448, F4, 30) (dual of [16448, 16275, 31]-code) | [i] | ✔ | |
| 24 | Linear OA(4176, 16454, F4, 30) (dual of [16454, 16278, 31]-code) | [i] | ✔ | |
| 25 | Linear OA(4184, 16462, F4, 31) (dual of [16462, 16278, 32]-code) | [i] | ✔ | |
| 26 | Linear OA(4115, 16420, F4, 21) (dual of [16420, 16305, 22]-code) | [i] | ✔ | |
| 27 | Linear OA(4174, 16452, F4, 30) (dual of [16452, 16278, 31]-code) | [i] | ✔ | |
| 28 | Linear OA(4183, 16456, F4, 31) (dual of [16456, 16273, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(4115, 16421, F4, 21) (dual of [16421, 16306, 22]-code) | [i] | ✔ | |
| 30 | Linear OA(4150, 16428, F4, 27) (dual of [16428, 16278, 28]-code) | [i] | ✔ | |
| 31 | Linear OA(4117, 16426, F4, 21) (dual of [16426, 16309, 22]-code) | [i] | ✔ | |
| 32 | Linear OA(4118, 16430, F4, 21) (dual of [16430, 16312, 22]-code) | [i] | ✔ | |
| 33 | Linear OA(4115, 16428, F4, 20) (dual of [16428, 16313, 21]-code) | [i] | ✔ | |
| 34 | Linear OA(4162, 16440, F4, 29) (dual of [16440, 16278, 30]-code) | [i] | ✔ | |
| 35 | Linear OA(4120, 16440, F4, 21) (dual of [16440, 16320, 22]-code) | [i] | ✔ | |
| 36 | Linear OA(4172, 16447, F4, 30) (dual of [16447, 16275, 31]-code) | [i] | ✔ | |
| 37 | Linear OA(4173, 16451, F4, 30) (dual of [16451, 16278, 31]-code) | [i] | ✔ | |
| 38 | Linear OA(4140, 16412, F4, 26) (dual of [16412, 16272, 27]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 39 | Linear OA(4131, 16403, F4, 25) (dual of [16403, 16272, 26]-code) | [i] | ✔ | |
| 40 | Linear OA(4129, 16401, F4, 24) (dual of [16401, 16272, 25]-code) | [i] | ✔ | |
| 41 | Linear OA(4136, 16417, F4, 25) (dual of [16417, 16281, 26]-code) | [i] | ✔ | |
| 42 | Linear OA(4135, 16415, F4, 25) (dual of [16415, 16280, 26]-code) | [i] | ✔ | |
| 43 | Linear OA(4134, 16413, F4, 25) (dual of [16413, 16279, 26]-code) | [i] | ✔ | |
| 44 | Linear OA(4124, 16404, F4, 23) (dual of [16404, 16280, 24]-code) | [i] | ✔ | |
| 45 | Linear OA(4123, 16402, F4, 23) (dual of [16402, 16279, 24]-code) | [i] | ✔ | |
| 46 | Linear OA(4115, 16394, F4, 22) (dual of [16394, 16279, 23]-code) | [i] | ✔ | |
| 47 | Linear OA(4108, 16394, F4, 21) (dual of [16394, 16286, 22]-code) | [i] | ✔ | |
| 48 | Linear OA(4110, 16403, F4, 21) (dual of [16403, 16293, 22]-code) | [i] | ✔ | |
| 49 | Linear OA(4108, 16401, F4, 20) (dual of [16401, 16293, 21]-code) | [i] | ✔ | |
| 50 | Linear OA(4115, 16417, F4, 21) (dual of [16417, 16302, 22]-code) | [i] | ✔ | |
| 51 | Linear OA(4114, 16415, F4, 21) (dual of [16415, 16301, 22]-code) | [i] | ✔ | |
| 52 | Linear OA(4113, 16413, F4, 21) (dual of [16413, 16300, 22]-code) | [i] | ✔ | |
| 53 | Linear OOA(4106, 8192, F4, 2, 21) (dual of [(8192, 2), 16278, 22]-NRT-code) | [i] | OOA Folding | |
| 54 | Linear OOA(4106, 5461, F4, 3, 21) (dual of [(5461, 3), 16277, 22]-NRT-code) | [i] | ||
| 55 | Linear OOA(4106, 1638, F4, 21, 21) (dual of [(1638, 21), 34292, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |