Information on Result #2222232
Linear OA(294, 2076, F2, 16) (dual of [2076, 1982, 17]-code), using 1 times truncation based on linear OA(295, 2077, F2, 17) (dual of [2077, 1982, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,6]) [i] based on
- linear OA(289, 2049, F2, 17) (dual of [2049, 1960, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(267, 2049, F2, 13) (dual of [2049, 1982, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(26, 28, F2, 3) (dual of [28, 22, 4]-code or 28-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
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(294, 1038, F2, 2, 16) (dual of [(1038, 2), 1982, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(294, 692, F2, 3, 16) (dual of [(692, 3), 1982, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(294, 519, F2, 4, 16) (dual of [(519, 4), 1982, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(294, 415, F2, 5, 16) (dual of [(415, 5), 1981, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(294, 346, F2, 6, 16) (dual of [(346, 6), 1982, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(294, 296, F2, 7, 16) (dual of [(296, 7), 1978, 17]-NRT-code) | [i] | ||
| 7 | Linear OOA(294, 259, F2, 8, 16) (dual of [(259, 8), 1978, 17]-NRT-code) | [i] | ||