Information on Result #1703606
Linear OOA(2218, 1198376, F2, 8, 19) (dual of [(1198376, 8), 9586790, 20]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2218, 1198376, F2, 7, 19) (dual of [(1198376, 7), 8388414, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(210, 5, F2, 7, 9) (dual of [(5, 7), 25, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,25P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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
- linear OOA(210, 5, F2, 7, 9) (dual of [(5, 7), 25, 10]-NRT-code), using
Mode: 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.