Information on Result #678344
Linear OA(4217, 262144, F4, 33) (dual of [262144, 261927, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33
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(4226, 262153, F4, 34) (dual of [262153, 261927, 35]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4218, 262154, F4, 33) (dual of [262154, 261936, 34]-code) | [i] | ✔ | |
| 3 | Linear OA(4218, 262163, F4, 32) (dual of [262163, 261945, 33]-code) | [i] | ✔ | |
| 4 | Linear OA(4220, 262165, F4, 33) (dual of [262165, 261945, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(4249, 262176, F4, 37) (dual of [262176, 261927, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(4222, 262176, F4, 33) (dual of [262176, 261954, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(4260, 262187, F4, 38) (dual of [262187, 261927, 39]-code) | [i] | ✔ | |
| 8 | Linear OA(4230, 262202, F4, 33) (dual of [262202, 261972, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(4227, 262199, F4, 32) (dual of [262199, 261972, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(4239, 262229, F4, 33) (dual of [262229, 261990, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(4226, 262195, F4, 32) (dual of [262195, 261969, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(4238, 262228, F4, 33) (dual of [262228, 261990, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(4236, 262226, F4, 32) (dual of [262226, 261990, 33]-code) | [i] | ✔ | |
| 14 | Linear OA(4238, 262230, F4, 32) (dual of [262230, 261992, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(4239, 262235, F4, 32) (dual of [262235, 261996, 33]-code) | [i] | ✔ | |
| 16 | Linear OA(4247, 262167, F4, 36) (dual of [262167, 261920, 37]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(4239, 262168, F4, 35) (dual of [262168, 261929, 36]-code) | [i] | ✔ | |
| 18 | Linear OA(4220, 262167, F4, 32) (dual of [262167, 261947, 33]-code) | [i] | ✔ | |
| 19 | Linear OOA(4217, 131072, F4, 2, 33) (dual of [(131072, 2), 261927, 34]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(4217, 87381, F4, 3, 33) (dual of [(87381, 3), 261926, 34]-NRT-code) | [i] | ||