Information on Result #2297753
Linear OA(4260, 277, F4, 166) (dual of [277, 17, 167]-code), using strength reduction based on linear OA(4260, 277, F4, 167) (dual of [277, 17, 168]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4237, 253, F4, 167) (dual of [253, 16, 168]-code), using
- 4 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]
- 4 times truncation [i] based on linear OA(4241, 257, F4, 171) (dual of [257, 16, 172]-code), using
- linear OA(4237, 254, F4, 144) (dual of [254, 17, 145]-code), using Gilbert–Varšamov bound and bm = 4237 > Vbs−1(k−1) = 24845 546298 068597 176370 862357 781179 169489 062345 737012 462495 980487 550630 554275 959239 678569 598637 319214 933796 459627 768444 063204 771087 555144 543808 [i]
- linear OA(422, 23, F4, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,4)), using
- dual of repetition code with length 23 [i]
- linear OA(4237, 253, F4, 167) (dual of [253, 16, 168]-code), using
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(4259, 276, F4, 165) (dual of [276, 17, 166]-code) | [i] | Truncation | |