Information on Result #673079
Linear OA(252, 1036, F2, 11) (dual of [1036, 984, 12]-code), using construction X4 applied to Ce(10) ⊂ Ce(8) based on
- linear OA(251, 1024, F2, 11) (dual of [1024, 973, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(241, 1024, F2, 9) (dual of [1024, 983, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(211, 12, F2, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,2)), using
- dual of repetition code with length 12 [i]
- linear OA(21, 12, F2, 1) (dual of [12, 11, 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
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(251, 1035, F2, 10) (dual of [1035, 984, 11]-code) | [i] | Truncation | |
| 2 | Linear OOA(252, 518, F2, 2, 11) (dual of [(518, 2), 984, 12]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(252, 259, F2, 4, 11) (dual of [(259, 4), 984, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(252, 207, F2, 6, 11) (dual of [(207, 6), 1190, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 5 | Linear OOA(252, 207, F2, 7, 11) (dual of [(207, 7), 1397, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(252, 207, F2, 8, 11) (dual of [(207, 8), 1604, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(252, 207, F2, 11, 11) (dual of [(207, 11), 2225, 12]-NRT-code) | [i] | ||