Information on Result #672583
Linear OA(2257, 32784, F2, 35) (dual of [32784, 32527, 36]-code), using construction X applied to Ce(34) ⊂ Ce(32) based on
- linear OA(2256, 32768, F2, 35) (dual of [32768, 32512, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2241, 32768, F2, 33) (dual of [32768, 32527, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(21, 16, F2, 1) (dual of [16, 15, 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(2257, 32784, F2, 34) (dual of [32784, 32527, 35]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2258, 32785, F2, 35) (dual of [32785, 32527, 36]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2259, 32786, F2, 35) (dual of [32786, 32527, 36]-code) | [i] | ||
| 4 | Linear OA(2260, 32787, F2, 35) (dual of [32787, 32527, 36]-code) | [i] | ||
| 5 | Linear OA(2256, 32783, F2, 34) (dual of [32783, 32527, 35]-code) | [i] | Truncation | |
| 6 | Linear OOA(2257, 16392, F2, 2, 35) (dual of [(16392, 2), 32527, 36]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2257, 10928, F2, 3, 35) (dual of [(10928, 3), 32527, 36]-NRT-code) | [i] | ||
| 8 | Linear OOA(2257, 8196, F2, 4, 35) (dual of [(8196, 4), 32527, 36]-NRT-code) | [i] | ||
| 9 | Linear OOA(2257, 6556, F2, 5, 35) (dual of [(6556, 5), 32523, 36]-NRT-code) | [i] | ||
| 10 | Linear OOA(2257, 5464, F2, 6, 35) (dual of [(5464, 6), 32527, 36]-NRT-code) | [i] | ||
| 11 | Linear OOA(2257, 4683, F2, 7, 35) (dual of [(4683, 7), 32524, 36]-NRT-code) | [i] | ||
| 12 | Linear OOA(2257, 4098, F2, 8, 35) (dual of [(4098, 8), 32527, 36]-NRT-code) | [i] | ||
| 13 | Linear OOA(2257, 1928, F2, 35, 35) (dual of [(1928, 35), 67223, 36]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |