Information on Result #673559
Linear OA(2250, 272, F2, 111) (dual of [272, 22, 112]-code), using construction X applied to Ce(110) ⊂ Ce(94) 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(215, 16, F2, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,2)), using
- dual of repetition code with length 16 [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(2250, 272, F2, 110) (dual of [272, 22, 111]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2250, 272, F2, 109) (dual of [272, 22, 110]-code) | [i] | ||
| 3 | Linear OA(2250, 272, F2, 108) (dual of [272, 22, 109]-code) | [i] | ||
| 4 | Linear OA(2250, 272, F2, 107) (dual of [272, 22, 108]-code) | [i] | ||
| 5 | Linear OA(2251, 273, F2, 111) (dual of [273, 22, 112]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(2252, 274, F2, 111) (dual of [274, 22, 112]-code) | [i] | ||
| 7 | Linear OA(2253, 275, F2, 111) (dual of [275, 22, 112]-code) | [i] | ||
| 8 | Linear OA(2254, 276, F2, 111) (dual of [276, 22, 112]-code) | [i] | ||
| 9 | Linear OA(2255, 277, F2, 111) (dual of [277, 22, 112]-code) | [i] | ||
| 10 | Linear OA(2256, 278, F2, 111) (dual of [278, 22, 112]-code) | [i] | ||
| 11 | Linear OA(2249, 271, F2, 110) (dual of [271, 22, 111]-code) | [i] | Truncation | |
| 12 | Linear OA(2248, 270, F2, 109) (dual of [270, 22, 110]-code) | [i] | ||
| 13 | Linear OA(2247, 269, F2, 108) (dual of [269, 22, 109]-code) | [i] | ||
| 14 | Linear OA(2246, 268, F2, 107) (dual of [268, 22, 108]-code) | [i] | ||
| 15 | Linear OA(2245, 267, F2, 106) (dual of [267, 22, 107]-code) | [i] | ||
| 16 | Linear OA(2243, 265, F2, 104) (dual of [265, 22, 105]-code) | [i] | ||
| 17 | Linear OOA(2250, 136, F2, 2, 111) (dual of [(136, 2), 22, 112]-NRT-code) | [i] | OOA Folding | |