Information on Result #1052559
Linear OOA(2231, 2097150, F2, 4, 21) (dual of [(2097150, 4), 8388369, 22]-NRT-code), using OOA 4-folding based on linear OA(2231, 8388600, F2, 21) (dual of [8388600, 8388369, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2231, 2097150, F2, 4, 20) (dual of [(2097150, 4), 8388369, 21]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2232, 2097150, F2, 4, 21) (dual of [(2097150, 4), 8388368, 22]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2242, 2097155, F2, 4, 21) (dual of [(2097155, 4), 8388378, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(2243, 2097156, F2, 4, 21) (dual of [(2097156, 4), 8388381, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(2244, 2097157, F2, 4, 21) (dual of [(2097157, 4), 8388384, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(2245, 2097158, F2, 4, 21) (dual of [(2097158, 4), 8388387, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(2246, 2097159, F2, 4, 21) (dual of [(2097159, 4), 8388390, 22]-NRT-code) | [i] | ||
| 8 | Linear OOA(2247, 2097161, F2, 4, 21) (dual of [(2097161, 4), 8388397, 22]-NRT-code) | [i] | ||
| 9 | Linear OOA(2248, 2097163, F2, 4, 21) (dual of [(2097163, 4), 8388404, 22]-NRT-code) | [i] | ||
| 10 | Linear OOA(2249, 2097165, F2, 4, 21) (dual of [(2097165, 4), 8388411, 22]-NRT-code) | [i] | ||
| 11 | Linear OOA(2250, 2097167, F2, 4, 21) (dual of [(2097167, 4), 8388418, 22]-NRT-code) | [i] | ||
| 12 | Linear OOA(2251, 2097171, F2, 4, 21) (dual of [(2097171, 4), 8388433, 22]-NRT-code) | [i] | ||
| 13 | Linear OOA(2252, 2097173, F2, 4, 21) (dual of [(2097173, 4), 8388440, 22]-NRT-code) | [i] | ||
| 14 | Linear OOA(2254, 2097175, F2, 4, 21) (dual of [(2097175, 4), 8388446, 22]-NRT-code) | [i] | ||
| 15 | Linear OOA(2255, 2097176, F2, 4, 21) (dual of [(2097176, 4), 8388449, 22]-NRT-code) | [i] | ||
| 16 | Linear OOA(2256, 2097177, F2, 4, 21) (dual of [(2097177, 4), 8388452, 22]-NRT-code) | [i] | ||
| 17 | Linear OOA(2257, 2097179, F2, 4, 21) (dual of [(2097179, 4), 8388459, 22]-NRT-code) | [i] | ||
| 18 | Linear OOA(2258, 2097180, F2, 4, 21) (dual of [(2097180, 4), 8388462, 22]-NRT-code) | [i] | ||
| 19 | Linear OOA(2259, 2097182, F2, 4, 21) (dual of [(2097182, 4), 8388469, 22]-NRT-code) | [i] | ||
| 20 | Linear OOA(2260, 2097185, F2, 4, 21) (dual of [(2097185, 4), 8388480, 22]-NRT-code) | [i] | ||
| 21 | Linear OOA(2258, 2097181, F2, 4, 21) (dual of [(2097181, 4), 8388466, 22]-NRT-code) | [i] | ||
| 22 | Linear OOA(2259, 2097184, F2, 4, 21) (dual of [(2097184, 4), 8388477, 22]-NRT-code) | [i] | ||