Information on Result #895815
Linear OOA(4257, 4194315, F4, 2, 27) (dual of [(4194315, 2), 8388373, 28]-NRT-code), using (u, u+v)-construction based on
- linear OOA(416, 14, F4, 2, 13) (dual of [(14, 2), 12, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,14P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- linear OOA(4241, 4194301, F4, 2, 27) (dual of [(4194301, 2), 8388361, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4241, 8388602, F4, 27) (dual of [8388602, 8388361, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4241, large, F4, 27) (dual of [large, large−241, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(4241, large, F4, 27) (dual of [large, large−241, 28]-code), using
- OOA 2-folding [i] based on linear OA(4241, 8388602, F4, 27) (dual of [8388602, 8388361, 28]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.