Information on Result #1708151
Linear OOA(261, 1368, F2, 15, 10) (dual of [(1368, 15), 20459, 11]-NRT-code), using OOA stacking with additional row based on linear OOA(261, 1369, F2, 5, 10) (dual of [(1369, 5), 6784, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(261, 1369, F2, 3, 10) (dual of [(1369, 3), 4046, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(261, 4107, F2, 10) (dual of [4107, 4046, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(261, 4109, F2, 10) (dual of [4109, 4048, 11]-code), using
- 1 times truncation [i] based on linear OA(262, 4110, F2, 11) (dual of [4110, 4048, 12]-code), using
- construction X4 applied to Ce(10) ⊂ Ce(8) [i] based on
- linear OA(261, 4096, F2, 11) (dual of [4096, 4035, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(249, 4096, F2, 9) (dual of [4096, 4047, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(213, 14, F2, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,2)), using
- dual of repetition code with length 14 [i]
- linear OA(21, 14, F2, 1) (dual of [14, 13, 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
- 1 times truncation [i] based on linear OA(262, 4110, F2, 11) (dual of [4110, 4048, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(261, 4109, F2, 10) (dual of [4109, 4048, 11]-code), using
- OOA 3-folding [i] based on linear OA(261, 4107, F2, 10) (dual of [4107, 4046, 11]-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 (51, 61, 1368)-net over F2 | [i] | Net Defined by OOA | |