Information on Result #673991
Linear OA(260, 132, F2, 19) (dual of [132, 72, 20]-code), using construction X applied to Ce(18) ⊂ Ce(14) based on
- linear OA(257, 128, F2, 19) (dual of [128, 71, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(250, 128, F2, 15) (dual of [128, 78, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(259, 131, F2, 18) (dual of [131, 72, 19]-code) | [i] | Truncation | |
| 2 | Linear OOA(260, 66, F2, 2, 19) (dual of [(66, 2), 72, 20]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(260, 44, F2, 3, 19) (dual of [(44, 3), 72, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(260, 33, F2, 4, 19) (dual of [(33, 4), 72, 20]-NRT-code) | [i] | ||