Information on Result #2295894
Linear OA(2249, 312, F2, 83) (dual of [312, 63, 84]-code), using adding a parity check bit based on linear OA(2248, 311, F2, 82) (dual of [311, 63, 83]-code), using
- construction X applied to C([1,84]) ⊂ C([1,60]) [i] based on
- linear OA(2208, 255, F2, 84) (dual of [255, 47, 85]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85 [i]
- linear OA(2192, 255, F2, 62) (dual of [255, 63, 63]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,60], and minimum distance d ≥ 63 (sporadic result) [i]
- linear OA(240, 56, F2, 19) (dual of [56, 16, 20]-code), using
- adding a parity check bit [i] based on linear OA(239, 55, F2, 18) (dual of [55, 16, 19]-code), using
- a “LC†code from Brouwer’s database [i]
- adding a parity check bit [i] based on linear OA(239, 55, F2, 18) (dual of [55, 16, 19]-code), using
Mode: 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(2249, 312, F2, 82) (dual of [312, 63, 83]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2250, 313, F2, 83) (dual of [313, 63, 84]-code) | [i] | Code Embedding in Larger Space | |