Information on Result #1299503
Linear OA(3223, 2228, F3, 46) (dual of [2228, 2005, 47]-code), using construction X with Varšamov bound based on
- linear OA(3221, 2225, F3, 46) (dual of [2225, 2004, 47]-code), using
- construction X applied to Ce(45) ⊂ Ce(39) [i] based on
- linear OA(3211, 2187, F3, 46) (dual of [2187, 1976, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(3183, 2187, F3, 40) (dual of [2187, 2004, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(310, 38, F3, 5) (dual of [38, 28, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(310, 39, F3, 5) (dual of [39, 29, 6]-code), using
- construction X applied to Ce(45) ⊂ Ce(39) [i] based on
- linear OA(3221, 2226, F3, 44) (dual of [2226, 2005, 45]-code), using Gilbert–Varšamov bound and bm = 3221 > Vbs−1(k−1) = 84 186600 017721 971282 988713 039218 409481 321662 403229 727984 828165 190478 889913 593775 986980 258942 171912 040259 [i]
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-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.
Other Results with Identical Parameters
None.
Depending Results
None.