Information on Result #1300908
Linear OA(4240, 257, F4, 152) (dual of [257, 17, 153]-code), using construction X with Varšamov bound based on
- linear OA(4222, 238, F4, 152) (dual of [238, 16, 153]-code), using
- 19 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]
- 19 times truncation [i] based on linear OA(4241, 257, F4, 171) (dual of [257, 16, 172]-code), using
- linear OA(4222, 239, F4, 134) (dual of [239, 17, 135]-code), using Gilbert–Varšamov bound and bm = 4222 > Vbs−1(k−1) = 21 537650 633186 730544 451398 725941 911961 321696 120990 565291 336742 947328 758860 476678 652858 916222 904006 864000 685293 252931 580322 813912 703683 [i]
- linear OA(417, 18, F4, 17) (dual of [18, 1, 18]-code or 18-arc in PG(16,4)), using
- dual of repetition code with length 18 [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
None.