Information on Result #612709
Linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(481, 262143, F4, 12) (dual of [262143, 262062, 13]-code) | [i] | Truncation | |
| 2 | Linear OA(488, 262151, F4, 13) (dual of [262151, 262063, 14]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(489, 262153, F4, 13) (dual of [262153, 262064, 14]-code) | [i] | ||
| 4 | Linear OA(490, 262161, F4, 13) (dual of [262161, 262071, 14]-code) | [i] | ||
| 5 | Linear OA(491, 262153, F4, 14) (dual of [262153, 262062, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(483, 262154, F4, 13) (dual of [262154, 262071, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(4101, 262163, F4, 15) (dual of [262163, 262062, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(483, 262163, F4, 12) (dual of [262163, 262080, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(485, 262165, F4, 13) (dual of [262165, 262080, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(4114, 262176, F4, 17) (dual of [262176, 262062, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(487, 262176, F4, 13) (dual of [262176, 262089, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(4125, 262187, F4, 18) (dual of [262187, 262062, 19]-code) | [i] | ✔ | |
| 13 | Linear OA(489, 262187, F4, 12) (dual of [262187, 262098, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(4137, 262199, F4, 19) (dual of [262199, 262062, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(4149, 262208, F4, 20) (dual of [262208, 262059, 21]-code) | [i] | ✔ | |
| 16 | Linear OA(4149, 262211, F4, 20) (dual of [262211, 262062, 21]-code) | [i] | ✔ | |
| 17 | Linear OA(4136, 262195, F4, 19) (dual of [262195, 262059, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(4150, 262209, F4, 21) (dual of [262209, 262059, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(4112, 262167, F4, 16) (dual of [262167, 262055, 17]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(4104, 262168, F4, 15) (dual of [262168, 262064, 16]-code) | [i] | ✔ | |
| 21 | Linear OA(485, 262167, F4, 12) (dual of [262167, 262082, 13]-code) | [i] | ✔ | |
| 22 | Linear OA(4101, 262164, F4, 15) (dual of [262164, 262063, 16]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 23 | Linear OA(483, 262164, F4, 12) (dual of [262164, 262081, 13]-code) | [i] | ✔ | |
| 24 | Linear OOA(482, 131072, F4, 2, 13) (dual of [(131072, 2), 262062, 14]-NRT-code) | [i] | OOA Folding | |
| 25 | Linear OOA(482, 87381, F4, 3, 13) (dual of [(87381, 3), 262061, 14]-NRT-code) | [i] | ||
| 26 | Linear OOA(482, 43690, F4, 13, 13) (dual of [(43690, 13), 567888, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |