Information on Result #702060
Linear OA(2237, 283, F2, 93) (dual of [283, 46, 94]-code), using construction XX applied to C1 = C([165,0]), C2 = C([171,4]), C3 = C1 + C2 = C([171,0]), and C∩ = C1 ∩ C2 = C([165,4]) based on
- linear OA(2219, 255, F2, 91) (dual of [255, 36, 92]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−90,−89,…,0}, and designed minimum distance d ≥ |I|+1 = 92 [i]
- linear OA(2217, 255, F2, 89) (dual of [255, 38, 90]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,4}, and designed minimum distance d ≥ |I|+1 = 90 [i]
- linear OA(2227, 255, F2, 95) (dual of [255, 28, 96]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−90,−89,…,4}, and designed minimum distance d ≥ |I|+1 = 96 [i]
- linear OA(2209, 255, F2, 85) (dual of [255, 46, 86]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,0}, and designed minimum distance d ≥ |I|+1 = 86 [i]
- linear OA(25, 15, F2, 3) (dual of [15, 10, 4]-code or 15-cap in PG(4,2)), using
- discarding factors / shortening the dual code based on linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), using
- linear OA(25, 13, F2, 3) (dual of [13, 8, 4]-code or 13-cap in PG(4,2)), using
- discarding factors / shortening the dual code based on linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)) (see above)
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(2236, 282, F2, 92) (dual of [282, 46, 93]-code) | [i] | Truncation | |