Information on Result #1150233
Linear OOA(286, 524293, F2, 7, 9) (dual of [(524293, 7), 3669965, 10]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OA(286, 2097173, F2, 9) (dual of [2097173, 2097087, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(286, 2097174, F2, 9) (dual of [2097174, 2097088, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(285, 2097152, F2, 9) (dual of [2097152, 2097067, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(264, 2097152, F2, 7) (dual of [2097152, 2097088, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(21, 22, F2, 1) (dual of [22, 21, 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
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
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(286, 524293, F2, 7, 8) (dual of [(524293, 7), 3669965, 9]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(287, 524293, F2, 7, 9) (dual of [(524293, 7), 3669964, 10]-NRT-code) | [i] | OOA Duplication | |