Information on Result #611063
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
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(2154, 4194303, F2, 14) (dual of [4194303, 4194149, 15]-code) | [i] | Truncation | |
| 2 | Linear OA(2178, 4194327, F2, 17) (dual of [4194327, 4194149, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2156, 4194327, F2, 15) (dual of [4194327, 4194171, 16]-code) | [i] | ✔ | |
| 4 | Linear OA(2205, 4194336, F2, 19) (dual of [4194336, 4194131, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(2206, 4194355, F2, 19) (dual of [4194355, 4194149, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(2161, 4194336, F2, 15) (dual of [4194336, 4194175, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(2178, 4194328, F2, 17) (dual of [4194328, 4194150, 18]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(2156, 4194328, F2, 15) (dual of [4194328, 4194172, 16]-code) | [i] | ✔ | |
| 9 | Linear OOA(2155, 2097152, F2, 2, 15) (dual of [(2097152, 2), 4194149, 16]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(2155, 1398101, F2, 3, 15) (dual of [(1398101, 3), 4194148, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(2155, 1048576, F2, 4, 15) (dual of [(1048576, 4), 4194149, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(2155, 838860, F2, 5, 15) (dual of [(838860, 5), 4194145, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(2155, 699050, F2, 6, 15) (dual of [(699050, 6), 4194145, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(2155, 599186, F2, 7, 15) (dual of [(599186, 7), 4194147, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(2155, 599186, F2, 8, 15) (dual of [(599186, 8), 4793333, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 16 | Linear OOA(2155, 599186, F2, 15, 15) (dual of [(599186, 15), 8987635, 16]-NRT-code) | [i] | ||