Information on Result #698103
Linear OA(4931, 117652, F49, 11) (dual of [117652, 117621, 12]-code), using construction X applied to Ce(10) ⊂ Ce(9) based on
- linear OA(4931, 117649, F49, 11) (dual of [117649, 117618, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(4928, 117649, F49, 10) (dual of [117649, 117621, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(762, 235304, F7, 11) (dual of [235304, 235242, 12]-code) | [i] | Trace Code | |
| 2 | Linear OA(4936, 117702, F49, 11) (dual of [117702, 117666, 12]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4937, 117705, F49, 11) (dual of [117705, 117668, 12]-code) | [i] | ||
| 4 | Linear OA(4938, 120005, F49, 11) (dual of [120005, 119967, 12]-code) | [i] | ||
| 5 | Linear OA(4940, 120055, F49, 11) (dual of [120055, 120015, 12]-code) | [i] | ||
| 6 | Linear OOA(4931, 58826, F49, 2, 11) (dual of [(58826, 2), 117621, 12]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4931, 39217, F49, 3, 11) (dual of [(39217, 3), 117620, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(4931, 23530, F49, 11, 11) (dual of [(23530, 11), 258799, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |