Information on Result #673259
Linear OA(2218, 522, F2, 53) (dual of [522, 304, 54]-code), using construction X applied to Ce(52) ⊂ Ce(50) based on
- linear OA(2217, 512, F2, 53) (dual of [512, 295, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(2208, 512, F2, 51) (dual of [512, 304, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(21, 10, F2, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OA(2218, 522, F2, 52) (dual of [522, 304, 53]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2219, 523, F2, 53) (dual of [523, 304, 54]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2220, 524, F2, 53) (dual of [524, 304, 54]-code) | [i] | ||
| 4 | Linear OA(2221, 525, F2, 53) (dual of [525, 304, 54]-code) | [i] | ||
| 5 | Linear OA(2217, 521, F2, 52) (dual of [521, 304, 53]-code) | [i] | Truncation | |
| 6 | Linear OOA(2218, 261, F2, 2, 53) (dual of [(261, 2), 304, 54]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2218, 174, F2, 3, 53) (dual of [(174, 3), 304, 54]-NRT-code) | [i] | ||
| 8 | Linear OOA(2218, 130, F2, 4, 53) (dual of [(130, 4), 302, 54]-NRT-code) | [i] | ||
| 9 | Linear OOA(2218, 104, F2, 5, 53) (dual of [(104, 5), 302, 54]-NRT-code) | [i] | ||