Information on Result #1159986
Linear OOA(2221, 1198379, F2, 7, 19) (dual of [(1198379, 7), 8388432, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(213, 8, F2, 7, 9) (dual of [(8, 7), 43, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,46P) [i] based on function field F/F2 with g(F) = 4 and N(F) ≥ 8, using
- linear OOA(2208, 1198371, F2, 7, 19) (dual of [(1198371, 7), 8388389, 20]-NRT-code), using
- OOA 7-folding [i] based on linear OA(2208, 8388597, F2, 19) (dual of [8388597, 8388389, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- OOA 7-folding [i] based on linear OA(2208, 8388597, F2, 19) (dual of [8388597, 8388389, 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.