Information on Result #661830
Linear OA(215, 28, F2, 7) (dual of [28, 13, 8]-code), using (u, u+v)-construction based on
- linear OA(23, 4, F2, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,2) or 4-cap in PG(2,2)), using
- dual of repetition code with length 4 [i]
- caps in base b = 2 [i]
- linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- extended Golay code Ge(2) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(214, 27, F2, 6) (dual of [27, 13, 7]-code) | [i] | Truncation | |
| 2 | Linear OA(2144, 285, F2, 37) (dual of [285, 141, 38]-code) | [i] | Construction X with Cyclic Codes | |
| 3 | Linear OA(2199, 283, F2, 60) (dual of [283, 84, 61]-code) | [i] | ||
| 4 | Linear OA(2114, 155, F2, 39) (dual of [155, 41, 40]-code) | [i] | ||
| 5 | Linear OA(2113, 155, F2, 38) (dual of [155, 42, 39]-code) | [i] | ||
| 6 | Linear OA(2149, 293, F2, 38) (dual of [293, 144, 39]-code) | [i] | Construction XX with Cyclic Codes | |
| 7 | Linear OA(2157, 293, F2, 40) (dual of [293, 136, 41]-code) | [i] | ||
| 8 | Linear OA(2162, 306, F2, 40) (dual of [306, 144, 41]-code) | [i] | ||
| 9 | Linear OA(2255, 296, F2, 98) (dual of [296, 41, 99]-code) | [i] | ||
| 10 | Linear OA(2255, 296, F2, 99) (dual of [296, 41, 100]-code) | [i] | ||
| 11 | Linear OA(2250, 284, F2, 99) (dual of [284, 34, 100]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 12 | Linear OA(2242, 284, F2, 95) (dual of [284, 42, 96]-code) | [i] | ||
| 13 | Linear OA(2148, 284, F2, 39) (dual of [284, 136, 40]-code) | [i] | ||
| 14 | Linear OA(2140, 284, F2, 37) (dual of [284, 144, 38]-code) | [i] | ||
| 15 | Linear OA(2184, 284, F2, 53) (dual of [284, 100, 54]-code) | [i] | ||
| 16 | Linear OA(2128, 156, F2, 51) (dual of [156, 28, 52]-code) | [i] | ||
| 17 | Linear OOA(215, 14, F2, 2, 7) (dual of [(14, 2), 13, 8]-NRT-code) | [i] | OOA Folding | |