Information on Result #2226859
Linear OA(2204, 4194335, F2, 18) (dual of [4194335, 4194131, 19]-code), using 1 times truncation based on linear OA(2205, 4194336, F2, 19) (dual of [4194336, 4194131, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
- linear OA(2199, 4194304, F2, 19) (dual of [4194304, 4194105, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2155, 4194304, F2, 15) (dual of [4194304, 4194149, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(2204, 2097167, F2, 2, 18) (dual of [(2097167, 2), 4194130, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2204, 1398111, F2, 3, 18) (dual of [(1398111, 3), 4194129, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(2204, 838867, F2, 5, 18) (dual of [(838867, 5), 4194131, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(2204, 466037, F2, 18, 18) (dual of [(466037, 18), 8388462, 19]-NRT-code) | [i] | OA Folding and Stacking | |