Information on Result #2227049
Linear OA(2237, 2097183, F2, 22) (dual of [2097183, 2096946, 23]-code), using 1 times truncation based on linear OA(2238, 2097184, F2, 23) (dual of [2097184, 2096946, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- linear OA(2232, 2097152, F2, 23) (dual of [2097152, 2096920, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2190, 2097152, F2, 19) (dual of [2097152, 2096962, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(2237, 1048591, F2, 2, 22) (dual of [(1048591, 2), 2096945, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2237, 699061, F2, 3, 22) (dual of [(699061, 3), 2096946, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(2237, 524295, F2, 4, 22) (dual of [(524295, 4), 2096943, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(2237, 419436, F2, 5, 22) (dual of [(419436, 5), 2096943, 23]-NRT-code) | [i] | ||
| 5 | Linear OOA(2237, 349530, F2, 6, 22) (dual of [(349530, 6), 2096943, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(2237, 299597, F2, 7, 22) (dual of [(299597, 7), 2096942, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(2237, 190653, F2, 22, 22) (dual of [(190653, 22), 4194129, 23]-NRT-code) | [i] | OA Folding and Stacking | |