Information on Result #1708425
Linear OOA(2136, 2097662, F2, 15, 11) (dual of [(2097662, 15), 31464794, 12]-NRT-code), using OOA stacking with additional row based on linear OOA(2136, 2097663, F2, 5, 11) (dual of [(2097663, 5), 10488179, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2136, 2097663, F2, 4, 11) (dual of [(2097663, 4), 8390516, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(220, 513, F2, 4, 5) (dual of [(513, 4), 2032, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (15, 20, 513)-net over F2, using
- linear OOA(2116, 2097150, F2, 4, 11) (dual of [(2097150, 4), 8388484, 12]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2116, 8388600, F2, 11) (dual of [8388600, 8388484, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2116, large, F2, 11) (dual of [large, large−116, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(2116, large, F2, 11) (dual of [large, large−116, 12]-code), using
- OOA 4-folding [i] based on linear OA(2116, 8388600, F2, 11) (dual of [8388600, 8388484, 12]-code), using
- linear OOA(220, 513, F2, 4, 5) (dual of [(513, 4), 2032, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (125, 136, 2097662)-net over F2 | [i] | Net Defined by OOA | |