Information on Result #1638822
Linear OOA(2240, 5592416, F2, 5, 15) (dual of [(5592416, 5), 27961840, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2240, 5592416, F2, 3, 15) (dual of [(5592416, 3), 16777008, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(268, 4194303, F2, 3, 7) (dual of [(4194303, 3), 12582841, 8]-NRT-code), using
- linear OOA(2172, 2796208, F2, 3, 15) (dual of [(2796208, 3), 8388452, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(210, 7, F2, 3, 7) (dual of [(7, 3), 11, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,13P) [i] based on function field F/F2 with g(F) = 3 and N(F) ≥ 7, using
- linear OOA(2162, 2796201, F2, 3, 15) (dual of [(2796201, 3), 8388441, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- OOA 3-folding [i] based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- linear OOA(210, 7, F2, 3, 7) (dual of [(7, 3), 11, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
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.