Information on Result #612976
Linear OA(4190, 262144, F4, 29) (dual of [262144, 261954, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, 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(4189, 262143, F4, 28) (dual of [262143, 261954, 29]-code) | [i] | Truncation | |
| 2 | Linear OA(4204, 262159, F4, 29) (dual of [262159, 261955, 30]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4207, 262164, F4, 29) (dual of [262164, 261957, 30]-code) | [i] | ||
| 4 | Linear OA(4208, 262166, F4, 29) (dual of [262166, 261958, 30]-code) | [i] | ||
| 5 | Linear OA(4210, 262170, F4, 29) (dual of [262170, 261960, 30]-code) | [i] | ||
| 6 | Linear OA(4209, 262164, F4, 29) (dual of [262164, 261955, 30]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(4199, 262153, F4, 30) (dual of [262153, 261954, 31]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(4191, 262154, F4, 29) (dual of [262154, 261963, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(4209, 262163, F4, 31) (dual of [262163, 261954, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(4191, 262163, F4, 28) (dual of [262163, 261972, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(4193, 262165, F4, 29) (dual of [262165, 261972, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(4222, 262176, F4, 33) (dual of [262176, 261954, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(4195, 262176, F4, 29) (dual of [262176, 261981, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(4233, 262187, F4, 34) (dual of [262187, 261954, 35]-code) | [i] | ✔ | |
| 15 | Linear OA(4200, 262190, F4, 29) (dual of [262190, 261990, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(4197, 262187, F4, 28) (dual of [262187, 261990, 29]-code) | [i] | ✔ | |
| 17 | Linear OA(4245, 262199, F4, 35) (dual of [262199, 261954, 36]-code) | [i] | ✔ | |
| 18 | Linear OA(4203, 262202, F4, 29) (dual of [262202, 261999, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(4200, 262199, F4, 28) (dual of [262199, 261999, 29]-code) | [i] | ✔ | |
| 20 | Linear OA(4260, 262208, F4, 37) (dual of [262208, 261948, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(4257, 262208, F4, 36) (dual of [262208, 261951, 37]-code) | [i] | ✔ | |
| 22 | Linear OA(4260, 262214, F4, 36) (dual of [262214, 261954, 37]-code) | [i] | ✔ | |
| 23 | Linear OA(4206, 262208, F4, 29) (dual of [262208, 262002, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(4207, 262212, F4, 29) (dual of [262212, 262005, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(4208, 262216, F4, 29) (dual of [262216, 262008, 30]-code) | [i] | ✔ | |
| 26 | Linear OA(4203, 262208, F4, 28) (dual of [262208, 262005, 29]-code) | [i] | ✔ | |
| 27 | Linear OA(4206, 262214, F4, 28) (dual of [262214, 262008, 29]-code) | [i] | ✔ | |
| 28 | Linear OA(4260, 262213, F4, 37) (dual of [262213, 261953, 38]-code) | [i] | ✔ | |
| 29 | Linear OA(4257, 262211, F4, 36) (dual of [262211, 261954, 37]-code) | [i] | ✔ | |
| 30 | Linear OA(4206, 262213, F4, 29) (dual of [262213, 262007, 30]-code) | [i] | ✔ | |
| 31 | Linear OA(4207, 262215, F4, 29) (dual of [262215, 262008, 30]-code) | [i] | ✔ | |
| 32 | Linear OA(4203, 262211, F4, 28) (dual of [262211, 262008, 29]-code) | [i] | ✔ | |
| 33 | Linear OA(4199, 262189, F4, 29) (dual of [262189, 261990, 30]-code) | [i] | ✔ | |
| 34 | Linear OA(4244, 262195, F4, 35) (dual of [262195, 261951, 36]-code) | [i] | ✔ | |
| 35 | Linear OA(4199, 262195, F4, 28) (dual of [262195, 261996, 29]-code) | [i] | ✔ | |
| 36 | Linear OA(4258, 262209, F4, 37) (dual of [262209, 261951, 38]-code) | [i] | ✔ | |
| 37 | Linear OA(4259, 262213, F4, 37) (dual of [262213, 261954, 38]-code) | [i] | ✔ | |
| 38 | Linear OA(4204, 262209, F4, 29) (dual of [262209, 262005, 30]-code) | [i] | ✔ | |
| 39 | Linear OA(4205, 262213, F4, 29) (dual of [262213, 262008, 30]-code) | [i] | ✔ | |
| 40 | Linear OA(4209, 262226, F4, 28) (dual of [262226, 262017, 29]-code) | [i] | ✔ | |
| 41 | Linear OA(4220, 262167, F4, 32) (dual of [262167, 261947, 33]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 42 | Linear OA(4212, 262168, F4, 31) (dual of [262168, 261956, 32]-code) | [i] | ✔ | |
| 43 | Linear OA(4193, 262167, F4, 28) (dual of [262167, 261974, 29]-code) | [i] | ✔ | |
| 44 | Linear OOA(4190, 131072, F4, 2, 29) (dual of [(131072, 2), 261954, 30]-NRT-code) | [i] | OOA Folding | |
| 45 | Linear OOA(4190, 87381, F4, 3, 29) (dual of [(87381, 3), 261953, 30]-NRT-code) | [i] | ||
| 46 | Linear OOA(4190, 18724, F4, 29, 29) (dual of [(18724, 29), 542806, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |