Information on Result #702100
Linear OA(2233, 271, F2, 95) (dual of [271, 38, 96]-code), using construction XX applied to C1 = C([171,8]), C2 = C([169,4]), C3 = C1 + C2 = C([171,4]), and C∩ = C1 ∩ C2 = C([169,8]) based on
- linear OA(2225, 255, F2, 93) (dual of [255, 30, 94]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,8}, and designed minimum distance d ≥ |I|+1 = 94 [i]
- 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 = {−86,−85,…,4}, and designed minimum distance d ≥ |I|+1 = 92 [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 = {−86,−85,…,8}, and designed minimum distance d ≥ |I|+1 = 96 [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(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)), using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 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(2233, 271, F2, 94) (dual of [271, 38, 95]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2234, 272, F2, 95) (dual of [272, 38, 96]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2235, 273, F2, 95) (dual of [273, 38, 96]-code) | [i] | ||
| 4 | Linear OA(2232, 270, F2, 94) (dual of [270, 38, 95]-code) | [i] | Truncation | |
| 5 | Linear OA(2231, 269, F2, 93) (dual of [269, 38, 94]-code) | [i] | ||
| 6 | Linear OOA(2233, 135, F2, 2, 95) (dual of [(135, 2), 37, 96]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2233, 90, F2, 3, 95) (dual of [(90, 3), 37, 96]-NRT-code) | [i] | ||
| 8 | Linear OOA(2233, 54, F2, 5, 95) (dual of [(54, 5), 37, 96]-NRT-code) | [i] | ||