Information on Result #672603
Linear OA(277, 32784, F2, 11) (dual of [32784, 32707, 12]-code), using construction X applied to Ce(10) ⊂ Ce(8) based on
- linear OA(276, 32768, F2, 11) (dual of [32768, 32692, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(261, 32768, F2, 9) (dual of [32768, 32707, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(21, 16, F2, 1) (dual of [16, 15, 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 OOA(277, 16392, F2, 2, 11) (dual of [(16392, 2), 32707, 12]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(277, 10928, F2, 3, 11) (dual of [(10928, 3), 32707, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(277, 8196, F2, 4, 11) (dual of [(8196, 4), 32707, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(277, 6556, F2, 6, 11) (dual of [(6556, 6), 39259, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 5 | Linear OOA(277, 6556, F2, 7, 11) (dual of [(6556, 7), 45815, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(277, 6556, F2, 8, 11) (dual of [(6556, 8), 52371, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(277, 6556, F2, 11, 11) (dual of [(6556, 11), 72039, 12]-NRT-code) | [i] | ||