Information on Result #1708315
Linear OOA(260, 687, F2, 15, 11) (dual of [(687, 15), 10245, 12]-NRT-code), using OOA stacking with additional row based on linear OOA(260, 688, F2, 5, 11) (dual of [(688, 5), 3380, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(260, 688, F2, 3, 11) (dual of [(688, 3), 2004, 12]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(257, 687, F2, 3, 11) (dual of [(687, 3), 2004, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(257, 2061, F2, 11) (dual of [2061, 2004, 12]-code), using
- construction X4 applied to Ce(10) ⊂ Ce(8) [i] based on
- linear OA(256, 2048, F2, 11) (dual of [2048, 1992, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(245, 2048, F2, 9) (dual of [2048, 2003, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(212, 13, F2, 11) (dual of [13, 1, 12]-code), using
- strength reduction [i] based on linear OA(212, 13, F2, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,2)), using
- dual of repetition code with length 13 [i]
- strength reduction [i] based on linear OA(212, 13, F2, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,2)), using
- linear OA(21, 13, F2, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(10) ⊂ Ce(8) [i] based on
- OOA 3-folding [i] based on linear OA(257, 2061, F2, 11) (dual of [2061, 2004, 12]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(257, 687, F2, 3, 11) (dual of [(687, 3), 2004, 12]-NRT-code), using
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 (49, 60, 687)-net over F2 | [i] | Net Defined by OOA | |