Information on Result #1635322
Linear OOA(2192, 2215340, F2, 5, 14) (dual of [(2215340, 5), 11076508, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2192, 2215340, F2, 3, 14) (dual of [(2215340, 3), 6645828, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2192, 2796712, F2, 3, 14) (dual of [(2796712, 3), 8389944, 15]-NRT-code), using
- 22 times duplication [i] based on linear OOA(2190, 2796712, F2, 3, 14) (dual of [(2796712, 3), 8389946, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(229, 511, F2, 3, 7) (dual of [(511, 3), 1504, 8]-NRT-code), using
- linear OOA(2161, 2796201, F2, 3, 14) (dual of [(2796201, 3), 8388442, 15]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- OOA 3-folding [i] based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- (u, u+v)-construction [i] based on
- 22 times duplication [i] based on linear OOA(2190, 2796712, F2, 3, 14) (dual of [(2796712, 3), 8389946, 15]-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.