Information on Result #1301564
Linear OA(593, 122, F5, 52) (dual of [122, 29, 53]-code), using construction X with Varšamov bound based on
- linear OA(588, 115, F5, 52) (dual of [115, 27, 53]-code), using
- 11 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]
- 11 times truncation [i] based on linear OA(599, 126, F5, 63) (dual of [126, 27, 64]-code), using
- linear OA(588, 117, F5, 48) (dual of [117, 29, 49]-code), using Gilbert–Varšamov bound and bm = 588 > Vbs−1(k−1) = 18 223807 076737 896265 909110 331616 885087 541483 401674 569271 221425 [i]
- linear OA(53, 5, F5, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,5) or 5-cap in PG(2,5)), using
- Reed–Solomon code RS(2,5) [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.