Information on Result #1303783
Linear OA(16112, 257, F16, 65) (dual of [257, 145, 66]-code), using construction X with Varšamov bound based on
- linear OA(16109, 253, F16, 65) (dual of [253, 144, 66]-code), using
- 4 times truncation [i] based on linear OA(16113, 257, F16, 69) (dual of [257, 144, 70]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,34], and minimum distance d ≥ |{−34,−33,…,34}|+1 = 70 (BCH-bound) [i]
- 4 times truncation [i] based on linear OA(16113, 257, F16, 69) (dual of [257, 144, 70]-code), using
- linear OA(16109, 254, F16, 62) (dual of [254, 145, 63]-code), using Gilbert–Varšamov bound and bm = 16109 > Vbs−1(k−1) = 161757 071436 929467 103056 444765 762570 424169 335298 056827 230461 290210 495826 792047 632835 265602 660099 959608 832650 656580 007411 213287 164096 [i]
- linear OA(162, 3, F16, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,16)), using
- dual of repetition code with length 3 [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.