Information on Result #1303775
Linear OA(16111, 256, F16, 64) (dual of [256, 145, 65]-code), using construction X with Varšamov bound based on
- linear OA(16108, 252, F16, 64) (dual of [252, 144, 65]-code), using
- 5 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]
- 5 times truncation [i] based on linear OA(16113, 257, F16, 69) (dual of [257, 144, 70]-code), using
- linear OA(16108, 253, F16, 61) (dual of [253, 145, 62]-code), using Gilbert–Varšamov bound and bm = 16108 > Vbs−1(k−1) = 2599 131204 951854 894356 666614 012956 608505 624911 668266 164771 200728 303961 502251 299421 901829 111448 841572 176856 968246 343007 756494 510256 [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.