Information on Result #1130218
Linear OOA(270, 32772, F2, 6, 9) (dual of [(32772, 6), 196562, 10]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OA(270, 131089, F2, 9) (dual of [131089, 131019, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(270, 131090, F2, 9) (dual of [131090, 131020, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(269, 131072, F2, 9) (dual of [131072, 131003, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(252, 131072, F2, 7) (dual of [131072, 131020, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(21, 18, F2, 1) (dual of [18, 17, 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(270, 32772, F2, 6, 8) (dual of [(32772, 6), 196562, 9]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(271, 32772, F2, 6, 9) (dual of [(32772, 6), 196561, 10]-NRT-code) | [i] | OOA Duplication | |