Information on Result #674018
Linear OA(289, 153, F2, 27) (dual of [153, 64, 28]-code), using construction X applied to Ce(26) ⊂ Ce(20) based on
- linear OA(278, 128, F2, 27) (dual of [128, 50, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(264, 128, F2, 21) (dual of [128, 64, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(211, 25, F2, 5) (dual of [25, 14, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(211, 32, F2, 5) (dual of [32, 21, 6]-code), using
- an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 31 = 25−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(211, 32, F2, 5) (dual of [32, 21, 6]-code), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(289, 153, F2, 26) (dual of [153, 64, 27]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(289, 51, F2, 3, 27) (dual of [(51, 3), 64, 28]-NRT-code) | [i] | OOA Folding | |