Information on Result #698116
Linear OA(4947, 117656, F49, 16) (dual of [117656, 117609, 17]-code), using construction X applied to Ce(15) ⊂ Ce(13) based on
- linear OA(4946, 117649, F49, 16) (dual of [117649, 117603, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(4940, 117649, F49, 14) (dual of [117649, 117609, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(491, 7, F49, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4955, 117706, F49, 16) (dual of [117706, 117651, 17]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(4947, 58828, F49, 2, 16) (dual of [(58828, 2), 117609, 17]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4947, 39218, F49, 3, 16) (dual of [(39218, 3), 117607, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(4947, 14707, F49, 16, 16) (dual of [(14707, 16), 235265, 17]-NRT-code) | [i] | OA Folding and Stacking | |