Information on Result #2227094
Linear OA(2258, 2097184, F2, 24) (dual of [2097184, 2096926, 25]-code), using 1 times truncation based on linear OA(2259, 2097185, F2, 25) (dual of [2097185, 2096926, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(2253, 2097153, F2, 25) (dual of [2097153, 2096900, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 242−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2211, 2097153, F2, 21) (dual of [2097153, 2096942, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 242−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), 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 OOA(2258, 1048592, F2, 2, 24) (dual of [(1048592, 2), 2096926, 25]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2258, 699061, F2, 3, 24) (dual of [(699061, 3), 2096925, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(2258, 524296, F2, 4, 24) (dual of [(524296, 4), 2096926, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(2258, 419436, F2, 5, 24) (dual of [(419436, 5), 2096922, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(2258, 349530, F2, 6, 24) (dual of [(349530, 6), 2096922, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(2258, 299597, F2, 7, 24) (dual of [(299597, 7), 2096921, 25]-NRT-code) | [i] | ||
| 7 | Linear OOA(2258, 262148, F2, 8, 24) (dual of [(262148, 8), 2096926, 25]-NRT-code) | [i] | ||
| 8 | Linear OOA(2258, 174765, F2, 24, 24) (dual of [(174765, 24), 4194102, 25]-NRT-code) | [i] | OA Folding and Stacking | |