Information on Result #673306
Linear OA(2232, 536, F2, 55) (dual of [536, 304, 56]-code), using construction X applied to Ce(54) ⊂ Ce(50) based on
- linear OA(2226, 512, F2, 55) (dual of [512, 286, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [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(26, 24, F2, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), 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(2232, 536, F2, 54) (dual of [536, 304, 55]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(2232, 134, F2, 4, 55) (dual of [(134, 4), 304, 56]-NRT-code) | [i] | OOA Folding | |