Information on Result #692931
Linear OA(16112, 283, F16, 58) (dual of [283, 171, 59]-code), using construction X applied to Ce(57) ⊂ Ce(46) based on
- linear OA(16100, 256, F16, 58) (dual of [256, 156, 59]-code), using an extension Ce(57) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(1685, 256, F16, 47) (dual of [256, 171, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(1612, 27, F16, 10) (dual of [27, 15, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(1612, 33, F16, 10) (dual of [33, 21, 11]-code), using
- extended algebraic-geometric code AGe(F,22P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1612, 33, F16, 10) (dual of [33, 21, 11]-code), using
Mode: Constructive and 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.