Information on Result #1691162
Linear OOA(2211, 2416656, F2, 8, 15) (dual of [(2416656, 8), 19333037, 16]-NRT-code), using OOA stacking with additional row based on linear OOA(2211, 2416657, F2, 7, 15) (dual of [(2416657, 7), 16916388, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2211, 2416657, F2, 3, 15) (dual of [(2416657, 3), 7249760, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2211, 2828968, F2, 3, 15) (dual of [(2828968, 3), 8486693, 16]-NRT-code), using
- 22 times duplication [i] based on linear OOA(2209, 2828968, F2, 3, 15) (dual of [(2828968, 3), 8486695, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(247, 32767, F2, 3, 7) (dual of [(32767, 3), 98254, 8]-NRT-code), 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
- (u, u+v)-construction [i] based on
- 22 times duplication [i] based on linear OOA(2209, 2828968, F2, 3, 15) (dual of [(2828968, 3), 8486695, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2211, 2828968, F2, 3, 15) (dual of [(2828968, 3), 8486693, 16]-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.