Information on Result #611204
Linear OA(2243, 4194304, F2, 23) (dual of [4194304, 4194061, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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 OA(2242, 4194303, F2, 22) (dual of [4194303, 4194061, 23]-code) | [i] | Truncation | |
| 2 | Linear OA(2244, 4194327, F2, 23) (dual of [4194327, 4194083, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2249, 4194336, F2, 23) (dual of [4194336, 4194087, 24]-code) | [i] | ✔ | |
| 4 | Linear OA(2250, 4194355, F2, 23) (dual of [4194355, 4194105, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(2244, 4194328, F2, 23) (dual of [4194328, 4194084, 24]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 6 | Linear OOA(2243, 2097152, F2, 2, 23) (dual of [(2097152, 2), 4194061, 24]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2243, 1398101, F2, 3, 23) (dual of [(1398101, 3), 4194060, 24]-NRT-code) | [i] | ||
| 8 | Linear OOA(2243, 1048576, F2, 4, 23) (dual of [(1048576, 4), 4194061, 24]-NRT-code) | [i] | ||
| 9 | Linear OOA(2243, 838860, F2, 5, 23) (dual of [(838860, 5), 4194057, 24]-NRT-code) | [i] | ||
| 10 | Linear OOA(2243, 699050, F2, 6, 23) (dual of [(699050, 6), 4194057, 24]-NRT-code) | [i] | ||
| 11 | Linear OOA(2243, 599186, F2, 7, 23) (dual of [(599186, 7), 4194059, 24]-NRT-code) | [i] | ||
| 12 | Linear OOA(2243, 524288, F2, 8, 23) (dual of [(524288, 8), 4194061, 24]-NRT-code) | [i] | ||
| 13 | Linear OOA(2243, 381300, F2, 23, 23) (dual of [(381300, 23), 8769657, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |