Information on Result #673958
Linear OA(2127, 136, F2, 63) (dual of [136, 9, 64]-code), using construction X applied to Ce(62) ⊂ Ce(54) based on
- linear OA(2120, 128, F2, 63) (dual of [128, 8, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(2113, 128, F2, 55) (dual of [128, 15, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(27, 8, F2, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,2)), using
- dual of repetition code with length 8 [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(2126, 135, F2, 62) (dual of [135, 9, 63]-code) | [i] | Truncation | |
| 2 | Linear OOA(2127, 68, F2, 2, 63) (dual of [(68, 2), 9, 64]-NRT-code) | [i] | OOA Folding | |