Information on Result #673589
Linear OA(2230, 278, F2, 85) (dual of [278, 48, 86]-code), using construction X applied to Ce(84) ⊂ Ce(62) based on
- linear OA(2209, 256, F2, 85) (dual of [256, 47, 86]-code), using an extension Ce(84) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85 [i]
- linear OA(2201, 256, F2, 63) (dual of [256, 55, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(221, 22, F2, 21) (dual of [22, 1, 22]-code or 22-arc in PG(20,2)), using
- dual of repetition code with length 22 [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2230, 278, F2, 84) (dual of [278, 48, 85]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2230, 278, F2, 83) (dual of [278, 48, 84]-code) | [i] | ||
| 3 | Linear OA(2230, 278, F2, 82) (dual of [278, 48, 83]-code) | [i] | ||
| 4 | Linear OA(2230, 278, F2, 81) (dual of [278, 48, 82]-code) | [i] | ||
| 5 | Linear OA(2230, 278, F2, 80) (dual of [278, 48, 81]-code) | [i] | ||
| 6 | Linear OA(2231, 279, F2, 85) (dual of [279, 48, 86]-code) | [i] | Code Embedding in Larger Space | |
| 7 | Linear OA(2235, 283, F2, 85) (dual of [283, 48, 86]-code) | [i] | ||
| 8 | Linear OA(2236, 284, F2, 85) (dual of [284, 48, 86]-code) | [i] | ||
| 9 | Linear OA(2237, 285, F2, 85) (dual of [285, 48, 86]-code) | [i] | ||
| 10 | Linear OA(2229, 277, F2, 84) (dual of [277, 48, 85]-code) | [i] | Truncation | |
| 11 | Linear OA(2228, 276, F2, 83) (dual of [276, 48, 84]-code) | [i] | ||
| 12 | Linear OA(2227, 275, F2, 82) (dual of [275, 48, 83]-code) | [i] | ||
| 13 | Linear OA(2226, 274, F2, 81) (dual of [274, 48, 82]-code) | [i] | ||
| 14 | Linear OA(2225, 273, F2, 80) (dual of [273, 48, 81]-code) | [i] | ||
| 15 | Linear OA(2224, 272, F2, 79) (dual of [272, 48, 80]-code) | [i] | ||
| 16 | Linear OA(2223, 271, F2, 78) (dual of [271, 48, 79]-code) | [i] | ||
| 17 | Linear OA(2222, 270, F2, 77) (dual of [270, 48, 78]-code) | [i] | ||
| 18 | Linear OA(2221, 269, F2, 76) (dual of [269, 48, 77]-code) | [i] | ||
| 19 | Linear OOA(2230, 139, F2, 2, 85) (dual of [(139, 2), 48, 86]-NRT-code) | [i] | OOA Folding | |