Information on Result #1301546
Linear OA(589, 117, F5, 50) (dual of [117, 28, 51]-code), using construction X with Varšamov bound based on
- linear OA(586, 113, F5, 50) (dual of [113, 27, 51]-code), using
- 13 times truncation [i] based on linear OA(599, 126, F5, 63) (dual of [126, 27, 64]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,31], and minimum distance d ≥ |{−31,−30,…,31}|+1 = 64 (BCH-bound) [i]
- 13 times truncation [i] based on linear OA(599, 126, F5, 63) (dual of [126, 27, 64]-code), using
- linear OA(586, 114, F5, 47) (dual of [114, 28, 48]-code), using Gilbert–Varšamov bound and bm = 586 > Vbs−1(k−1) = 661617 674780 293524 244094 145543 150797 383365 134312 071579 031365 [i]
- linear OA(52, 3, F5, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,5)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.