Information on Result #903150
Linear OOA(4926, 58876, F49, 2, 8) (dual of [(58876, 2), 117726, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(494, 50, F49, 2, 4) (dual of [(50, 2), 96, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;96,49) [i]
- linear OOA(4922, 58826, F49, 2, 8) (dual of [(58826, 2), 117630, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4922, 117652, F49, 8) (dual of [117652, 117630, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(4922, 117649, F49, 8) (dual of [117649, 117627, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(4919, 117649, F49, 7) (dual of [117649, 117630, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- OOA 2-folding [i] based on linear OA(4922, 117652, F49, 8) (dual of [117652, 117630, 9]-code), 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 OOA(4926, 29437, F49, 10, 8) (dual of [(29437, 10), 294344, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |