Information on Result #701914
Linear OA(2143, 281, F2, 39) (dual of [281, 138, 40]-code), using construction XX applied to C1 = C([219,0]), C2 = C([225,2]), C3 = C1 + C2 = C([225,0]), and C∩ = C1 ∩ C2 = C([219,2]) based on
- linear OA(2125, 255, F2, 37) (dual of [255, 130, 38]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−36,−35,…,0}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(2125, 255, F2, 33) (dual of [255, 130, 34]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−30,−29,…,2}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2133, 255, F2, 39) (dual of [255, 122, 40]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−36,−35,…,2}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(2117, 255, F2, 31) (dual of [255, 138, 32]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−30,−29,…,0}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(29, 17, F2, 5) (dual of [17, 8, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(29, 18, F2, 5) (dual of [18, 9, 6]-code), using
- extended quadratic residue code Qe(18,2) [i]
- discarding factors / shortening the dual code based on linear OA(29, 18, F2, 5) (dual of [18, 9, 6]-code), using
- linear OA(21, 9, F2, 1) (dual of [9, 8, 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
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 OA(2142, 280, F2, 38) (dual of [280, 138, 39]-code) | [i] | Truncation | |
| 2 | Linear OOA(2143, 140, F2, 2, 39) (dual of [(140, 2), 137, 40]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2143, 93, F2, 3, 39) (dual of [(93, 3), 136, 40]-NRT-code) | [i] | ||
| 4 | Linear OOA(2143, 56, F2, 5, 39) (dual of [(56, 5), 137, 40]-NRT-code) | [i] | ||