Information on Result #673746
Linear OA(2252, 285, F2, 101) (dual of [285, 33, 102]-code), using construction XX applied to Ce(110) ⊂ Ce(94) ⊂ Ce(90) based on
- linear OA(2235, 256, F2, 111) (dual of [256, 21, 112]-code), using an extension Ce(110) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,110], and designed minimum distance d ≥ |I|+1 = 111 [i]
- linear OA(2227, 256, F2, 95) (dual of [256, 29, 96]-code), using an extension Ce(94) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,94], and designed minimum distance d ≥ |I|+1 = 95 [i]
- linear OA(2219, 256, F2, 91) (dual of [256, 37, 92]-code), using an extension Ce(90) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,90], and designed minimum distance d ≥ |I|+1 = 91 [i]
- linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- extended Golay code Ge(2) [i]
- linear OA(21, 5, F2, 1) (dual of [5, 4, 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(2252, 285, F2, 100) (dual of [285, 33, 101]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2251, 284, F2, 100) (dual of [284, 33, 101]-code) | [i] | Truncation | |
| 3 | Linear OOA(2252, 142, F2, 2, 101) (dual of [(142, 2), 32, 102]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2252, 95, F2, 3, 101) (dual of [(95, 3), 33, 102]-NRT-code) | [i] | ||
| 5 | Linear OOA(2252, 57, F2, 5, 101) (dual of [(57, 5), 33, 102]-NRT-code) | [i] | ||