Information on Result #673631
Linear OA(234, 265, F2, 9) (dual of [265, 231, 10]-code), using construction X applied to Ce(8) ⊂ Ce(6) based on
- linear OA(233, 256, F2, 9) (dual of [256, 223, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(225, 256, F2, 7) (dual of [256, 231, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(21, 9, F2, 1) (dual of [9, 8, 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 OOA(234, 88, F2, 3, 9) (dual of [(88, 3), 230, 10]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(234, 66, F2, 4, 9) (dual of [(66, 4), 230, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(234, 66, F2, 5, 9) (dual of [(66, 5), 296, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 4 | Linear OOA(234, 66, F2, 6, 9) (dual of [(66, 6), 362, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(234, 66, F2, 7, 9) (dual of [(66, 7), 428, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(234, 66, F2, 8, 9) (dual of [(66, 8), 494, 10]-NRT-code) | [i] | ||