Information on Result #1399523
Linear OOA(230, 78, F2, 2, 8) (dual of [(78, 2), 126, 9]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(230, 78, F2, 8) (dual of [78, 48, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(230, 137, F2, 8) (dual of [137, 107, 9]-code), using
- construction X4 applied to C([0,8]) ⊂ C([1,6]) [i] based on
- linear OA(229, 127, F2, 9) (dual of [127, 98, 10]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(221, 127, F2, 6) (dual of [127, 106, 7]-code), using 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(29, 10, F2, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,2)), using
- dual of repetition code with length 10 [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 X4 applied to C([0,8]) ⊂ C([1,6]) [i] based on
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(2214, 4194379, F2, 2, 16) (dual of [(4194379, 2), 8388544, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2215, 4194379, F2, 2, 17) (dual of [(4194379, 2), 8388543, 18]-NRT-code) | [i] | ||