Information on Result #702863
Linear OA(2201, 1074, F2, 38) (dual of [1074, 873, 39]-code), using construction XX applied to C1 = C([987,1022]), C2 = C([993,2]), C3 = C1 + C2 = C([993,1022]), and C∩ = C1 ∩ C2 = C([987,2]) based on
- linear OA(2175, 1023, F2, 36) (dual of [1023, 848, 37]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−36,−35,…,−1}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2161, 1023, F2, 33) (dual of [1023, 862, 34]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−30,−29,…,2}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2186, 1023, F2, 39) (dual of [1023, 837, 40]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−36,−35,…,2}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(2150, 1023, F2, 30) (dual of [1023, 873, 31]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−30,−29,…,−1}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(211, 36, F2, 4) (dual of [36, 25, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(211, 44, F2, 4) (dual of [44, 33, 5]-code), using
- linear OA(24, 15, F2, 2) (dual of [15, 11, 3]-code), using
- Hamming code H(4,2) [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2202, 1075, F2, 39) (dual of [1075, 873, 40]-code) | [i] | Adding a Parity Check Bit | |
| 2 | Linear OOA(2201, 179, F2, 6, 38) (dual of [(179, 6), 873, 39]-NRT-code) | [i] | OOA Folding | |