Information on Result #612773
Linear OA(4109, 262145, F4, 17) (dual of [262145, 262036, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound)
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(4108, 262144, F4, 16) (dual of [262144, 262036, 17]-code) | [i] | Truncation | |
| 2 | Linear OA(4119, 262159, F4, 17) (dual of [262159, 262040, 18]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4117, 262154, F4, 17) (dual of [262154, 262037, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(4128, 262164, F4, 19) (dual of [262164, 262036, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(4112, 262151, F4, 17) (dual of [262151, 262039, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(4113, 262162, F4, 17) (dual of [262162, 262049, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(4114, 262168, F4, 17) (dual of [262168, 262054, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(4112, 262166, F4, 16) (dual of [262166, 262054, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(4150, 262186, F4, 21) (dual of [262186, 262036, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(4119, 262191, F4, 17) (dual of [262191, 262072, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(4116, 262188, F4, 16) (dual of [262188, 262072, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(4179, 262209, F4, 25) (dual of [262209, 262030, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(4180, 262213, F4, 25) (dual of [262213, 262033, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(4176, 262209, F4, 24) (dual of [262209, 262033, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(4179, 262215, F4, 24) (dual of [262215, 262036, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(4118, 262181, F4, 17) (dual of [262181, 262063, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(4179, 262214, F4, 25) (dual of [262214, 262035, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(4180, 262216, F4, 25) (dual of [262216, 262036, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(4176, 262212, F4, 24) (dual of [262212, 262036, 25]-code) | [i] | ✔ | |
| 20 | Linear OA(4118, 262190, F4, 17) (dual of [262190, 262072, 18]-code) | [i] | ✔ | |
| 21 | Linear OA(4177, 262210, F4, 25) (dual of [262210, 262033, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(4178, 262214, F4, 25) (dual of [262214, 262036, 26]-code) | [i] | ✔ | |
| 23 | Linear OA(4128, 262165, F4, 19) (dual of [262165, 262037, 20]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 24 | Linear OA(4110, 262165, F4, 15) (dual of [262165, 262055, 16]-code) | [i] | ✔ | |
| 25 | Linear OOA(4109, 32768, F4, 17, 17) (dual of [(32768, 17), 556947, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |