Information on Result #1164189
Linear OOA(238, 130, F2, 8, 9) (dual of [(130, 8), 1002, 10]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OA(238, 521, F2, 9) (dual of [521, 483, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(238, 522, F2, 9) (dual of [522, 484, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(237, 512, F2, 9) (dual of [512, 475, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(228, 512, F2, 7) (dual of [512, 484, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(21, 10, F2, 1) (dual of [10, 9, 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(2245, 1048705, F2, 8, 18) (dual of [(1048705, 8), 8389395, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2246, 1048705, F2, 8, 19) (dual of [(1048705, 8), 8389394, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(238, 130, F2, 9, 9) (dual of [(130, 9), 1132, 10]-NRT-code) | [i] | Appending kth Column | |