Information on Result #672223
Linear OA(2211, 2097152, F2, 21) (dual of [2097152, 2096941, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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, 2097174, F2, 23) (dual of [2097174, 2096941, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2212, 2097174, F2, 21) (dual of [2097174, 2096962, 22]-code) | [i] | ✔ | |
| 3 | Linear OA(2212, 2097175, F2, 21) (dual of [2097175, 2096963, 22]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 4 | Linear OOA(2211, 1048576, F2, 2, 21) (dual of [(1048576, 2), 2096941, 22]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2211, 524288, F2, 4, 21) (dual of [(524288, 4), 2096941, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(2211, 419430, F2, 5, 21) (dual of [(419430, 5), 2096939, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(2211, 349525, F2, 6, 21) (dual of [(349525, 6), 2096939, 22]-NRT-code) | [i] | ||
| 8 | Linear OOA(2211, 299593, F2, 7, 21) (dual of [(299593, 7), 2096940, 22]-NRT-code) | [i] | ||
| 9 | Linear OOA(2211, 262144, F2, 8, 21) (dual of [(262144, 8), 2096941, 22]-NRT-code) | [i] | ||
| 10 | Linear OOA(2211, 209715, F2, 21, 21) (dual of [(209715, 21), 4403804, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |