Information on Result #1321584
Linear OA(544, 84, F5, 21) (dual of [84, 40, 22]-code), using construction X with Varšamov bound based on
- linear OA(543, 82, F5, 21) (dual of [82, 39, 22]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(537, 73, F5, 21) (dual of [73, 36, 22]-code), using
- 1 times code embedding in larger space [i] based on linear OA(536, 72, F5, 21) (dual of [72, 36, 22]-code), using
- a “GraX†code from Grassl’s database [i]
- 1 times code embedding in larger space [i] based on linear OA(536, 72, F5, 21) (dual of [72, 36, 22]-code), using
- linear OA(537, 76, F5, 17) (dual of [76, 39, 18]-code), using Gilbert–Varšamov bound and bm = 537 > Vbs−1(k−1) = 39 329776 153908 552043 844061 [i]
- linear OA(53, 6, F5, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,5) or 6-cap in PG(2,5)), using
- extended Reed–Solomon code RSe(3,5) [i]
- oval in PG(2, 5) [i]
- linear OA(537, 73, F5, 21) (dual of [73, 36, 22]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(543, 83, F5, 20) (dual of [83, 40, 21]-code), using Gilbert–Varšamov bound and bm = 543 > Vbs−1(k−1) = 584980 652006 538327 555946 590425 [i]
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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.