Information on Result #692872
Linear OA(16105, 276, F16, 56) (dual of [276, 171, 57]-code), using construction X applied to Ce(55) ⊂ Ce(46) based on
- linear OA(1696, 256, F16, 56) (dual of [256, 160, 57]-code), using an extension Ce(55) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [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(169, 20, F16, 8) (dual of [20, 11, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(169, 24, F16, 8) (dual of [24, 15, 9]-code), using
- extended algebraic-geometric code AGe(F,15P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(169, 24, F16, 8) (dual of [24, 15, 9]-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.