Information on Result #1300941
Linear OA(4244, 261, F4, 155) (dual of [261, 17, 156]-code), using construction X with Varšamov bound based on
- linear OA(4225, 241, F4, 155) (dual of [241, 16, 156]-code), using
- 16 times truncation [i] based on linear OA(4241, 257, F4, 171) (dual of [257, 16, 172]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,85], and minimum distance d ≥ |{−85,−84,…,85}|+1 = 172 (BCH-bound) [i]
- 16 times truncation [i] based on linear OA(4241, 257, F4, 171) (dual of [257, 16, 172]-code), using
- linear OA(4225, 242, F4, 136) (dual of [242, 17, 137]-code), using Gilbert–Varšamov bound and bm = 4225 > Vbs−1(k−1) = 1402 921705 715923 560604 946237 605448 550426 975300 437641 749500 564620 953310 500222 318320 616872 177353 702399 363804 325006 778472 230835 389356 374252 [i]
- linear OA(418, 19, F4, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,4)), using
- dual of repetition code with length 19 [i]
Mode: 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(4244, 261, F4, 154) (dual of [261, 17, 155]-code) | [i] | Strength Reduction | |