Information on Result #700540
Linear OA(248, 63, F2, 23) (dual of [63, 15, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 24
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Codes by De Boer and Brouwer (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2172, 186, F2, 71) (dual of [186, 14, 72]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(2170, 183, F2, 71) (dual of [183, 13, 72]-code) | [i] | ||
| 3 | Linear OA(2168, 180, F2, 71) (dual of [180, 12, 72]-code) | [i] | ||
| 4 | Linear OA(2166, 177, F2, 71) (dual of [177, 11, 72]-code) | [i] | ||
| 5 | Linear OA(2164, 174, F2, 71) (dual of [174, 10, 72]-code) | [i] | ||
| 6 | Linear OA(2162, 171, F2, 71) (dual of [171, 9, 72]-code) | [i] | ||
| 7 | Linear OA(267, 90, F2, 25) (dual of [90, 23, 26]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OA(260, 77, F2, 27) (dual of [77, 17, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(256, 73, F2, 25) (dual of [73, 17, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(2161, 189, F2, 55) (dual of [189, 28, 56]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 11 | Linear OA(2160, 189, F2, 54) (dual of [189, 29, 55]-code) | [i] | ||
| 12 | Linear OOA(248, 21, F2, 3, 23) (dual of [(21, 3), 15, 24]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(248, 12, F2, 5, 23) (dual of [(12, 5), 12, 24]-NRT-code) | [i] | ||