Information on Result #698100
Linear OA(4937, 117652, F49, 13) (dual of [117652, 117615, 14]-code), using construction X applied to Ce(12) ⊂ Ce(11) based on
- linear OA(4937, 117649, F49, 13) (dual of [117649, 117612, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(4934, 117649, F49, 12) (dual of [117649, 117615, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(490, 3, F49, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-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(774, 235304, F7, 13) (dual of [235304, 235230, 14]-code) | [i] | Trace Code | |
| 2 | Linear OA(4943, 117702, F49, 13) (dual of [117702, 117659, 14]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4944, 117705, F49, 13) (dual of [117705, 117661, 14]-code) | [i] | ||
| 4 | Linear OA(4945, 117707, F49, 13) (dual of [117707, 117662, 14]-code) | [i] | ||
| 5 | Linear OA(4946, 117754, F49, 13) (dual of [117754, 117708, 14]-code) | [i] | ||
| 6 | Linear OA(4947, 117894, F49, 13) (dual of [117894, 117847, 14]-code) | [i] | ||
| 7 | Linear OA(4948, 120055, F49, 13) (dual of [120055, 120007, 14]-code) | [i] | ||
| 8 | Linear OOA(4937, 58826, F49, 2, 13) (dual of [(58826, 2), 117615, 14]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(4937, 39217, F49, 3, 13) (dual of [(39217, 3), 117614, 14]-NRT-code) | [i] | ||