Information on Result #900804
Linear OOA(27101, 4194377, F27, 2, 18) (dual of [(4194377, 2), 8388653, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2715, 76, F27, 2, 9) (dual of [(76, 2), 137, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,142P) [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- linear OOA(2786, 4194301, F27, 2, 18) (dual of [(4194301, 2), 8388516, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2786, 8388602, F27, 18) (dual of [8388602, 8388516, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(2786, large, F27, 18) (dual of [large, large−86, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(2786, large, F27, 18) (dual of [large, large−86, 19]-code), using
- OOA 2-folding [i] based on linear OA(2786, 8388602, F27, 18) (dual of [8388602, 8388516, 19]-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.