Information on Result #1321637
Linear OA(582, 111, F5, 45) (dual of [111, 29, 46]-code), using construction X with Varšamov bound based on
- linear OA(581, 109, F5, 45) (dual of [109, 28, 46]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(576, 102, F5, 45) (dual of [102, 26, 46]-code), using
- 1 times truncation [i] based on linear OA(577, 103, F5, 46) (dual of [103, 26, 47]-code), using
- a “GraX†code from Grassl’s database [i]
- 1 times truncation [i] based on linear OA(577, 103, F5, 46) (dual of [103, 26, 47]-code), using
- linear OA(576, 104, F5, 41) (dual of [104, 28, 42]-code), using Gilbert–Varšamov bound and bm = 576 > Vbs−1(k−1) = 87595 960250 228569 678786 587866 194342 929093 889037 680045 [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]
- linear OA(576, 102, F5, 45) (dual of [102, 26, 46]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(581, 110, F5, 44) (dual of [110, 29, 45]-code), using Gilbert–Varšamov bound and bm = 581 > Vbs−1(k−1) = 404 066226 549374 073963 633363 537856 720842 272822 470561 752085 [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.