Information on Result #1300888
Linear OA(4236, 253, F4, 149) (dual of [253, 17, 150]-code), using construction X with Varšamov bound based on
- linear OA(4219, 235, F4, 149) (dual of [235, 16, 150]-code), using
- 22 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]
- 22 times truncation [i] based on linear OA(4241, 257, F4, 171) (dual of [257, 16, 172]-code), using
- linear OA(4219, 236, F4, 132) (dual of [236, 17, 133]-code), using Gilbert–Varšamov bound and bm = 4219 > Vbs−1(k−1) = 330063 281119 610384 100113 275177 936541 708005 019475 518259 293727 556674 172446 301272 089235 722504 104768 050143 563005 561554 625037 220350 496392 [i]
- linear OA(416, 17, F4, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,4)), using
- dual of repetition code with length 17 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.