Information on Result #701546
Linear OA(829, 70, F8, 16) (dual of [70, 41, 17]-code), using construction X applied to C({1,3,5,7,10,11,13}) ⊂ C({1,3,5,7,11,13}) based on
- linear OA(828, 65, F8, 16) (dual of [65, 37, 17]-code), using the cyclic code C(A) with length 65 | 84−1, defining set A = {1,3,5,7,10,11,13}, and minimum distance d ≥ |{−15,−13,−11,…,15}|+1 = 17 (BCH-bound) [i]
- linear OA(824, 65, F8, 14) (dual of [65, 41, 15]-code), using the cyclic code C(A) with length 65 | 84−1, defining set A = {1,3,5,7,11,13}, and minimum distance d ≥ |{−13,−11,−9,…,13}|+1 = 15 (BCH-bound) [i]
- linear OA(81, 5, F8, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 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 OOA(829, 35, F8, 2, 16) (dual of [(35, 2), 41, 17]-NRT-code) | [i] | OOA Folding | |