Information on Result #673261
Linear OA(2211, 516, F2, 51) (dual of [516, 305, 52]-code), using construction X applied to Ce(50) ⊂ Ce(46) based on
- linear OA(2208, 512, F2, 51) (dual of [512, 304, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(2199, 512, F2, 47) (dual of [512, 313, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(23, 4, F2, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,2) or 4-cap in PG(2,2)), using
- dual of repetition code with length 4 [i]
- caps in base b = 2 [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(2210, 515, F2, 50) (dual of [515, 305, 51]-code) | [i] | Truncation | |
| 2 | Linear OOA(2211, 258, F2, 2, 51) (dual of [(258, 2), 305, 52]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2211, 172, F2, 3, 51) (dual of [(172, 3), 305, 52]-NRT-code) | [i] | ||
| 4 | Linear OOA(2211, 129, F2, 4, 51) (dual of [(129, 4), 305, 52]-NRT-code) | [i] | ||
| 5 | Linear OOA(2211, 103, F2, 5, 51) (dual of [(103, 5), 304, 52]-NRT-code) | [i] | ||