Information on Result #1674236
Linear OOA(2161, 2796328, F2, 7, 12) (dual of [(2796328, 7), 19574135, 13]-NRT-code), using OOA stacking with additional row based on linear OOA(2161, 2796329, F2, 6, 12) (dual of [(2796329, 6), 16777813, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2161, 2796329, F2, 3, 12) (dual of [(2796329, 3), 8388826, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(223, 128, F2, 3, 6) (dual of [(128, 3), 361, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(223, 128, F2, 2, 6) (dual of [(128, 2), 233, 7]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(221, 127, F2, 2, 6) (dual of [(127, 2), 233, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (15, 21, 127)-net over F2, using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(221, 127, F2, 2, 6) (dual of [(127, 2), 233, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(223, 128, F2, 2, 6) (dual of [(128, 2), 233, 7]-NRT-code), using
- 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(223, 128, F2, 3, 6) (dual of [(128, 3), 361, 7]-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.