Information on Result #613107
Linear OA(4244, 262144, F4, 37) (dual of [262144, 261900, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37
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(4243, 262143, F4, 36) (dual of [262143, 261900, 37]-code) | [i] | Truncation | |
| 2 | Linear OA(4253, 262153, F4, 38) (dual of [262153, 261900, 39]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(4245, 262154, F4, 37) (dual of [262154, 261909, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(4245, 262163, F4, 36) (dual of [262163, 261918, 37]-code) | [i] | ✔ | |
| 5 | Linear OA(4247, 262165, F4, 37) (dual of [262165, 261918, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(4249, 262176, F4, 37) (dual of [262176, 261927, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(4254, 262190, F4, 37) (dual of [262190, 261936, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(4251, 262187, F4, 36) (dual of [262187, 261936, 37]-code) | [i] | ✔ | |
| 9 | Linear OA(4257, 262202, F4, 37) (dual of [262202, 261945, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(4254, 262199, F4, 36) (dual of [262199, 261945, 37]-code) | [i] | ✔ | |
| 11 | Linear OA(4260, 262208, F4, 37) (dual of [262208, 261948, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(4257, 262208, F4, 36) (dual of [262208, 261951, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(4260, 262214, F4, 36) (dual of [262214, 261954, 37]-code) | [i] | ✔ | |
| 14 | Linear OA(4260, 262213, F4, 37) (dual of [262213, 261953, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(4257, 262211, F4, 36) (dual of [262211, 261954, 37]-code) | [i] | ✔ | |
| 16 | Linear OA(4253, 262189, F4, 37) (dual of [262189, 261936, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(4253, 262195, F4, 36) (dual of [262195, 261942, 37]-code) | [i] | ✔ | |
| 18 | Linear OA(4258, 262209, F4, 37) (dual of [262209, 261951, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(4259, 262213, F4, 37) (dual of [262213, 261954, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(4247, 262167, F4, 36) (dual of [262167, 261920, 37]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OOA(4244, 131072, F4, 2, 37) (dual of [(131072, 2), 261900, 38]-NRT-code) | [i] | OOA Folding | |
| 22 | Linear OOA(4244, 87381, F4, 3, 37) (dual of [(87381, 3), 261899, 38]-NRT-code) | [i] | ||
| 23 | Linear OOA(4244, 14563, F4, 37, 37) (dual of [(14563, 37), 538587, 38]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |