Information on Result #1699782
Linear OOA(2162, 2796331, F2, 8, 12) (dual of [(2796331, 8), 22370486, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2162, 2796331, F2, 3, 12) (dual of [(2796331, 3), 8388831, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(224, 130, F2, 3, 6) (dual of [(130, 3), 366, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(23, 3, F2, 3, 3) (dual of [(3, 3), 6, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;6,2) [i]
- linear OOA(221, 127, F2, 3, 6) (dual of [(127, 3), 360, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (15, 21, 127)-net over F2, using
- linear OOA(23, 3, F2, 3, 3) (dual of [(3, 3), 6, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2138, 2796201, F2, 3, 12) (dual of [(2796201, 3), 8388465, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- linear OOA(224, 130, F2, 3, 6) (dual of [(130, 3), 366, 7]-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.