Information on Result #900841
Linear OOA(27101, 4194339, F27, 2, 19) (dual of [(4194339, 2), 8388577, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2710, 38, F27, 2, 9) (dual of [(38, 2), 66, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,66P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OOA(2791, 4194301, F27, 2, 19) (dual of [(4194301, 2), 8388511, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2791, 8388602, F27, 19) (dual of [8388602, 8388511, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2791, large, F27, 19) (dual of [large, large−91, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2791, large, F27, 19) (dual of [large, large−91, 20]-code), using
- OOA 2-folding [i] based on linear OA(2791, 8388602, F27, 19) (dual of [8388602, 8388511, 20]-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.