Information on Result #2219427
Linear OA(231, 37, F2, 16) (dual of [37, 6, 17]-code), using 1 times truncation based on linear OA(232, 38, F2, 17) (dual of [38, 6, 18]-code), using
- construction X applied to Ce(30) ⊂ Ce(14) [i] based on
- linear OA(231, 32, F2, 31) (dual of [32, 1, 32]-code or 32-arc in PG(30,2)), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 31 = 25−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(226, 32, F2, 15) (dual of [32, 6, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 31 = 25−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(21, 6, F2, 1) (dual of [6, 5, 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
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2258, 311, F2, 88) (dual of [311, 53, 89]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(231, 18, F2, 2, 16) (dual of [(18, 2), 5, 17]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(231, 12, F2, 3, 16) (dual of [(12, 3), 5, 17]-NRT-code) | [i] | ||