Information on Result #702058
Linear OA(2237, 284, F2, 92) (dual of [284, 47, 93]-code), using construction XX applied to C1 = C([165,254]), C2 = C([171,4]), C3 = C1 + C2 = C([171,254]), and C∩ = C1 ∩ C2 = C([165,4]) based on
- linear OA(2218, 255, F2, 90) (dual of [255, 37, 91]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−90,−89,…,−1}, and designed minimum distance d ≥ |I|+1 = 91 [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(2208, 255, F2, 84) (dual of [255, 47, 85]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,−1}, and designed minimum distance d ≥ |I|+1 = 85 [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, 14, F2, 3) (dual of [14, 9, 4]-code or 14-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(2237, 284, F2, 91) (dual of [284, 47, 92]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2237, 284, F2, 90) (dual of [284, 47, 91]-code) | [i] | ||
| 3 | Linear OA(2237, 284, F2, 89) (dual of [284, 47, 90]-code) | [i] | ||
| 4 | Linear OA(2237, 284, F2, 88) (dual of [284, 47, 89]-code) | [i] | ||
| 5 | Linear OA(2249, 296, F2, 92) (dual of [296, 47, 93]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(2250, 297, F2, 92) (dual of [297, 47, 93]-code) | [i] | ||
| 7 | Linear OA(2251, 298, F2, 92) (dual of [298, 47, 93]-code) | [i] | ||
| 8 | Linear OA(2238, 285, F2, 93) (dual of [285, 47, 94]-code) | [i] | Adding a Parity Check Bit | |
| 9 | Linear OA(2251, 299, F2, 92) (dual of [299, 48, 93]-code) | [i] | Construction X with Varšamov Bound | |
| 10 | Linear OA(2258, 307, F2, 92) (dual of [307, 49, 93]-code) | [i] | ||
| 11 | Linear OOA(2237, 142, F2, 2, 92) (dual of [(142, 2), 47, 93]-NRT-code) | [i] | OOA Folding | |