Information on Result #1399521
Linear OOA(229, 69, F2, 2, 8) (dual of [(69, 2), 109, 9]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(229, 69, F2, 8) (dual of [69, 40, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(229, 135, F2, 8) (dual of [135, 106, 9]-code), using
- 1 times truncation [i] based on linear OA(230, 136, F2, 9) (dual of [136, 106, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(229, 128, F2, 9) (dual of [128, 99, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(222, 128, F2, 7) (dual of [128, 106, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(21, 8, F2, 1) (dual of [8, 7, 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
- 1 times truncation [i] based on linear OA(230, 136, F2, 9) (dual of [136, 106, 10]-code), using
Mode: 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(2213, 4194370, F2, 2, 16) (dual of [(4194370, 2), 8388527, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2214, 4194370, F2, 2, 17) (dual of [(4194370, 2), 8388526, 18]-NRT-code) | [i] | ||