Information on Result #2297735
Linear OA(4246, 263, F4, 156) (dual of [263, 17, 157]-code), using strength reduction based on linear OA(4246, 263, F4, 157) (dual of [263, 17, 158]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4227, 243, F4, 157) (dual of [243, 16, 158]-code), using
- 14 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]
- 14 times truncation [i] based on linear OA(4241, 257, F4, 171) (dual of [257, 16, 172]-code), using
- linear OA(4227, 244, F4, 138) (dual of [244, 17, 139]-code), using Gilbert–Varšamov bound and bm = 4227 > Vbs−1(k−1) = 40269 414111 539699 333707 093774 056157 603423 140031 721722 130665 195297 419280 610069 744465 176655 416307 877267 417387 787215 315280 521364 120993 650988 [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]
- linear OA(4227, 243, F4, 157) (dual of [243, 16, 158]-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
None.