Information on Result #896540
Linear OOA(888, 1048604, F8, 2, 13) (dual of [(1048604, 2), 2097120, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(810, 25, F8, 2, 6) (dual of [(25, 2), 40, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,43P) [i] based on function field F/F8 with g(F) = 4 and N(F) ≥ 25, using
- linear OOA(878, 1048579, F8, 2, 13) (dual of [(1048579, 2), 2097080, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(878, 2097158, F8, 13) (dual of [2097158, 2097080, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(878, 2097159, F8, 13) (dual of [2097159, 2097081, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(878, 2097152, F8, 13) (dual of [2097152, 2097074, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(871, 2097152, F8, 12) (dual of [2097152, 2097081, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(80, 7, F8, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(878, 2097159, F8, 13) (dual of [2097159, 2097081, 14]-code), using
- OOA 2-folding [i] based on linear OA(878, 2097158, F8, 13) (dual of [2097158, 2097080, 14]-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.