Information on Result #612991
Linear OA(4199, 262144, F4, 30) (dual of [262144, 261945, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30
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(4214, 262160, F4, 30) (dual of [262160, 261946, 31]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4217, 262165, F4, 30) (dual of [262165, 261948, 31]-code) | [i] | ||
| 3 | Linear OA(4218, 262167, F4, 30) (dual of [262167, 261949, 31]-code) | [i] | ||
| 4 | Linear OA(4220, 262171, F4, 30) (dual of [262171, 261951, 31]-code) | [i] | ||
| 5 | Linear OA(4220, 262166, F4, 30) (dual of [262166, 261946, 31]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(4208, 262153, F4, 31) (dual of [262153, 261945, 32]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(4199, 262153, F4, 30) (dual of [262153, 261954, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(4218, 262163, F4, 32) (dual of [262163, 261945, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(4220, 262165, F4, 33) (dual of [262165, 261945, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(4202, 262165, F4, 30) (dual of [262165, 261963, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(4231, 262176, F4, 34) (dual of [262176, 261945, 35]-code) | [i] | ✔ | |
| 12 | Linear OA(4204, 262176, F4, 30) (dual of [262176, 261972, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(4242, 262187, F4, 35) (dual of [262187, 261945, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(4206, 262187, F4, 30) (dual of [262187, 261981, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(4257, 262202, F4, 37) (dual of [262202, 261945, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(4254, 262199, F4, 36) (dual of [262199, 261945, 37]-code) | [i] | ✔ | |
| 17 | Linear OA(4212, 262202, F4, 30) (dual of [262202, 261990, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(4215, 262208, F4, 30) (dual of [262208, 261993, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(4216, 262212, F4, 30) (dual of [262212, 261996, 31]-code) | [i] | ✔ | |
| 20 | Linear OA(4217, 262216, F4, 30) (dual of [262216, 261999, 31]-code) | [i] | ✔ | |
| 21 | Linear OA(4220, 262228, F4, 30) (dual of [262228, 262008, 31]-code) | [i] | ✔ | |
| 22 | Linear OA(4215, 262213, F4, 30) (dual of [262213, 261998, 31]-code) | [i] | ✔ | |
| 23 | Linear OA(4216, 262215, F4, 30) (dual of [262215, 261999, 31]-code) | [i] | ✔ | |
| 24 | Linear OA(4253, 262195, F4, 36) (dual of [262195, 261942, 37]-code) | [i] | ✔ | |
| 25 | Linear OA(4213, 262209, F4, 30) (dual of [262209, 261996, 31]-code) | [i] | ✔ | |
| 26 | Linear OA(4214, 262213, F4, 30) (dual of [262213, 261999, 31]-code) | [i] | ✔ | |
| 27 | Linear OA(4218, 262226, F4, 30) (dual of [262226, 262008, 31]-code) | [i] | ✔ | |
| 28 | Linear OA(4220, 262167, F4, 32) (dual of [262167, 261947, 33]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 29 | Linear OA(4200, 262173, F4, 28) (dual of [262173, 261973, 29]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 30 | Linear OOA(4199, 17476, F4, 30, 30) (dual of [(17476, 30), 524081, 31]-NRT-code) | [i] | OA Folding and Stacking | |