Information on Result #1164213
Linear OOA(274, 65540, F2, 8, 9) (dual of [(65540, 8), 524246, 10]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OA(274, 262161, F2, 9) (dual of [262161, 262087, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(274, 262163, F2, 9) (dual of [262163, 262089, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(273, 262144, F2, 9) (dual of [262144, 262071, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(255, 262144, F2, 7) (dual of [262144, 262089, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(21, 19, F2, 1) (dual of [19, 18, 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(274, 65540, F2, 9, 9) (dual of [(65540, 9), 589786, 10]-NRT-code) | [i] | Appending kth Column | |