Information on Result #2175151
Linear OA(2203, 276, F2, 63) (dual of [276, 73, 64]-code), using adding a parity check bit based on linear OA(2202, 275, F2, 62) (dual of [275, 73, 63]-code), using
- construction XX applied to C([1,60]) ⊂ C([1,58]) ⊂ C([1,54]) [i] based on
- 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(2184, 255, F2, 60) (dual of [255, 71, 61]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,58], and minimum distance d ≥ 61 (sporadic result) [i]
- linear OA(2176, 255, F2, 54) (dual of [255, 79, 55]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(21, 11, F2, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(27, 9, F2, 5) (dual of [9, 2, 6]-code), using
- repeating each code word 3 times [i] based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s (see above)
- repeating each code word 3 times [i] based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2203, 138, F2, 2, 63) (dual of [(138, 2), 73, 64]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2203, 92, F2, 3, 63) (dual of [(92, 3), 73, 64]-NRT-code) | [i] | ||