Information on Result #1298475
Linear OA(3121, 256, F3, 40) (dual of [256, 135, 41]-code), using construction X with Varšamov bound based on
- linear OA(3117, 249, F3, 40) (dual of [249, 132, 41]-code), using
- construction X applied to Ce(39) ⊂ Ce(37) [i] based on
- linear OA(3116, 243, F3, 40) (dual of [243, 127, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3111, 243, F3, 38) (dual of [243, 132, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(31, 6, F3, 1) (dual of [6, 5, 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
- construction X applied to Ce(39) ⊂ Ce(37) [i] based on
- linear OA(3117, 252, F3, 38) (dual of [252, 135, 39]-code), using Gilbert–Varšamov bound and bm = 3117 > Vbs−1(k−1) = 41 076572 357188 299993 652501 824295 135189 313182 680879 944763 [i]
- linear OA(31, 4, F3, 1) (dual of [4, 3, 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 (see above)
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.