Information on Result #673985
Linear OA(281, 132, F2, 27) (dual of [132, 51, 28]-code), using construction X applied to Ce(26) ⊂ Ce(22) based on
- linear OA(278, 128, F2, 27) (dual of [128, 50, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(271, 128, F2, 23) (dual of [128, 57, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(280, 131, F2, 26) (dual of [131, 51, 27]-code) | [i] | Truncation | |
| 2 | Linear OOA(281, 66, F2, 2, 27) (dual of [(66, 2), 51, 28]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(281, 44, F2, 3, 27) (dual of [(44, 3), 51, 28]-NRT-code) | [i] | ||