Information on Result #612978
Linear OA(4232, 4194304, F4, 29) (dual of [4194304, 4194072, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29
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(4231, 4194303, F4, 28) (dual of [4194303, 4194072, 29]-code) | [i] | Truncation | |
| 2 | Linear OA(4246, 4194319, F4, 29) (dual of [4194319, 4194073, 30]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4249, 4194324, F4, 29) (dual of [4194324, 4194075, 30]-code) | [i] | ||
| 4 | Linear OA(4250, 4194326, F4, 29) (dual of [4194326, 4194076, 30]-code) | [i] | ||
| 5 | Linear OA(4252, 4194330, F4, 29) (dual of [4194330, 4194078, 30]-code) | [i] | ||
| 6 | Linear OA(4251, 4194324, F4, 29) (dual of [4194324, 4194073, 30]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(4243, 4194315, F4, 30) (dual of [4194315, 4194072, 31]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(4233, 4194316, F4, 29) (dual of [4194316, 4194083, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(4255, 4194327, F4, 31) (dual of [4194327, 4194072, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(4233, 4194327, F4, 28) (dual of [4194327, 4194094, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(4235, 4194325, F4, 29) (dual of [4194325, 4194090, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(4236, 4194330, F4, 29) (dual of [4194330, 4194094, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(4237, 4194342, F4, 29) (dual of [4194342, 4194105, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(4242, 4194358, F4, 29) (dual of [4194358, 4194116, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(4239, 4194347, F4, 28) (dual of [4194347, 4194108, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(4240, 4194356, F4, 28) (dual of [4194356, 4194116, 29]-code) | [i] | ✔ | |
| 17 | Linear OA(4245, 4194368, F4, 29) (dual of [4194368, 4194123, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(4248, 4194375, F4, 29) (dual of [4194375, 4194127, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(4242, 4194368, F4, 28) (dual of [4194368, 4194126, 29]-code) | [i] | ✔ | |
| 20 | Linear OA(4244, 4194371, F4, 28) (dual of [4194371, 4194127, 29]-code) | [i] | ✔ | |
| 21 | Linear OA(4250, 4194388, F4, 29) (dual of [4194388, 4194138, 30]-code) | [i] | ✔ | |
| 22 | Linear OA(4248, 4194386, F4, 28) (dual of [4194386, 4194138, 29]-code) | [i] | ✔ | |
| 23 | Linear OA(4245, 4194372, F4, 29) (dual of [4194372, 4194127, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(4243, 4194370, F4, 28) (dual of [4194370, 4194127, 29]-code) | [i] | ✔ | |
| 25 | Linear OA(4245, 4194374, F4, 28) (dual of [4194374, 4194129, 29]-code) | [i] | ✔ | |
| 26 | Linear OA(4247, 4194377, F4, 28) (dual of [4194377, 4194130, 29]-code) | [i] | ✔ | |
| 27 | Linear OA(4241, 4194355, F4, 29) (dual of [4194355, 4194114, 30]-code) | [i] | ✔ | |
| 28 | Linear OA(4247, 4194385, F4, 29) (dual of [4194385, 4194138, 30]-code) | [i] | ✔ | |
| 29 | Linear OA(4251, 4194391, F4, 28) (dual of [4194391, 4194140, 29]-code) | [i] | ✔ | |
| 30 | Linear OOA(4232, 2097152, F4, 2, 29) (dual of [(2097152, 2), 4194072, 30]-NRT-code) | [i] | OOA Folding | |
| 31 | Linear OOA(4232, 1398101, F4, 3, 29) (dual of [(1398101, 3), 4194071, 30]-NRT-code) | [i] | ||
| 32 | Linear OOA(4232, 299593, F4, 29, 29) (dual of [(299593, 29), 8687965, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |