Information on Result #1081277
Linear OOA(3176, 2097158, F3, 4, 17) (dual of [(2097158, 4), 8388456, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(310, 8, F3, 4, 8) (dual of [(8, 4), 22, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,23P) [i] based on function field F/F3 with g(F) = 2 and N(F) ≥ 8, using
- linear OOA(3166, 2097150, F3, 4, 17) (dual of [(2097150, 4), 8388434, 18]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3166, 8388600, F3, 17) (dual of [8388600, 8388434, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- OOA 4-folding [i] based on linear OA(3166, 8388600, F3, 17) (dual of [8388600, 8388434, 18]-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.