Information on Result #2188696
Linear OA(2250, 272, F2, 109) (dual of [272, 22, 110]-code), using strength reduction based on linear OA(2250, 272, F2, 111) (dual of [272, 22, 112]-code), using
- construction X applied to Ce(110) ⊂ Ce(94) [i] 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(2249, 271, F2, 108) (dual of [271, 22, 109]-code) | [i] | Truncation | |
| 2 | Linear OA(2248, 270, F2, 107) (dual of [270, 22, 108]-code) | [i] | ||
| 3 | Linear OA(2247, 269, F2, 106) (dual of [269, 22, 107]-code) | [i] | ||
| 4 | Linear OA(2246, 268, F2, 105) (dual of [268, 22, 106]-code) | [i] | ||
| 5 | Linear OA(2245, 267, F2, 104) (dual of [267, 22, 105]-code) | [i] | ||