Information on Result #702338
Linear OA(2165, 543, F2, 37) (dual of [543, 378, 38]-code), using construction XX applied to C1 = C([477,0]), C2 = C([483,2]), C3 = C1 + C2 = C([483,0]), and C∩ = C1 ∩ C2 = C([477,2]) based on
- linear OA(2145, 511, F2, 35) (dual of [511, 366, 36]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−34,−33,…,0}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(2136, 511, F2, 31) (dual of [511, 375, 32]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−28,−27,…,2}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2154, 511, F2, 37) (dual of [511, 357, 38]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−34,−33,…,2}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(2127, 511, F2, 29) (dual of [511, 384, 30]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−28,−27,…,0}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(210, 22, F2, 5) (dual of [22, 12, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(210, 24, F2, 5) (dual of [24, 14, 6]-code), using
- linear OA(21, 10, F2, 1) (dual of [10, 9, 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(2164, 542, F2, 36) (dual of [542, 378, 37]-code) | [i] | Truncation | |
| 2 | Linear OOA(2165, 271, F2, 2, 37) (dual of [(271, 2), 377, 38]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2165, 181, F2, 3, 37) (dual of [(181, 3), 378, 38]-NRT-code) | [i] | ||