Information on Result #673286
Linear OA(265, 522, F2, 15) (dual of [522, 457, 16]-code), using construction X applied to Ce(14) ⊂ Ce(12) based on
- linear OA(264, 512, F2, 15) (dual of [512, 448, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(255, 512, F2, 13) (dual of [512, 457, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(264, 521, F2, 14) (dual of [521, 457, 15]-code) | [i] | Truncation | |
| 2 | Linear OOA(265, 261, F2, 2, 15) (dual of [(261, 2), 457, 16]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(265, 174, F2, 3, 15) (dual of [(174, 3), 457, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(265, 130, F2, 4, 15) (dual of [(130, 4), 455, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(265, 104, F2, 5, 15) (dual of [(104, 5), 455, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(265, 87, F2, 6, 15) (dual of [(87, 6), 457, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(265, 74, F2, 7, 15) (dual of [(74, 7), 453, 16]-NRT-code) | [i] | ||