Information on Result #2220470
Linear OA(265, 264, F2, 16) (dual of [264, 199, 17]-code), using 1 times truncation based on linear OA(266, 265, F2, 17) (dual of [265, 199, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(265, 256, F2, 17) (dual of [256, 191, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(257, 256, F2, 15) (dual of [256, 199, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(21, 9, F2, 1) (dual of [9, 8, 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(265, 132, F2, 2, 16) (dual of [(132, 2), 199, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(265, 88, F2, 3, 16) (dual of [(88, 3), 199, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(265, 66, F2, 4, 16) (dual of [(66, 4), 199, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(265, 52, F2, 5, 16) (dual of [(52, 5), 195, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(265, 44, F2, 6, 16) (dual of [(44, 6), 199, 17]-NRT-code) | [i] | ||