Information on Result #1115638
Linear OOA(2251, 4194307, F2, 5, 12) (dual of [(4194307, 5), 20971284, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(28, 6, F2, 5, 6) (dual of [(6, 5), 22, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,23P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, using
- linear OOA(2243, 4194301, F2, 5, 12) (dual of [(4194301, 5), 20971262, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2243, 8388602, F2, 3, 12) (dual of [(8388602, 3), 25165563, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2243, large, F2, 3, 12), using
- trace code [i] based on linear OOA(881, 2796201, F8, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(881, large, F8, 12) (dual of [large, large−81, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(881, large, F8, 12) (dual of [large, large−81, 13]-code), using
- trace code [i] based on linear OOA(881, 2796201, F8, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2243, large, F2, 3, 12), using
- OOA 2-folding [i] based on linear OOA(2243, 8388602, F2, 3, 12) (dual of [(8388602, 3), 25165563, 13]-NRT-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.