Information on Result #2221485
Linear OA(2108, 138, F2, 41) (dual of [138, 30, 42]-code), using 2 times truncation based on linear OA(2110, 140, F2, 43) (dual of [140, 30, 44]-code), using
- construction X applied to Ce(42) ⊂ Ce(30) [i] based on
- linear OA(299, 128, F2, 43) (dual of [128, 29, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(292, 128, F2, 31) (dual of [128, 36, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(211, 12, F2, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,2)), using
- dual of repetition code with length 12 [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(2111, 141, F2, 41) (dual of [141, 30, 42]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(2108, 69, F2, 2, 41) (dual of [(69, 2), 30, 42]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2108, 46, F2, 3, 41) (dual of [(46, 3), 30, 42]-NRT-code) | [i] | ||