Information on Result #865623
Linear OOA(2787, 265743, F27, 2, 20) (dual of [(265743, 2), 531399, 21]-NRT-code), using OOA 2-folding based on linear OA(2787, 531486, F27, 20) (dual of [531486, 531399, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2787, 531487, F27, 20) (dual of [531487, 531400, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(10) [i] based on
- linear OA(2777, 531441, F27, 20) (dual of [531441, 531364, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2741, 531441, F27, 11) (dual of [531441, 531400, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2710, 46, F27, 8) (dual of [46, 36, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(2710, 48, F27, 8) (dual of [48, 38, 9]-code), using
- extended algebraic-geometric code AGe(F,39P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- discarding factors / shortening the dual code based on linear OA(2710, 48, F27, 8) (dual of [48, 38, 9]-code), using
- construction X applied to Ce(19) ⊂ Ce(10) [i] based on
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.