Information on Result #1301621
Linear OA(5102, 130, F5, 59) (dual of [130, 28, 60]-code), using construction X with Varšamov bound based on
- linear OA(595, 122, F5, 59) (dual of [122, 27, 60]-code), using
- 4 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]
- 4 times truncation [i] based on linear OA(599, 126, F5, 63) (dual of [126, 27, 64]-code), using
- linear OA(595, 123, F5, 52) (dual of [123, 28, 53]-code), using Gilbert–Varšamov bound and bm = 595 > Vbs−1(k−1) = 460558 702408 106707 769066 929927 933886 277670 170470 712586 512052 727609 [i]
- linear OA(56, 7, F5, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,5)), using
- dual of repetition code with length 7 [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.