Information on Result #1017180
Linear OOA(4923, 41619, F49, 3, 7) (dual of [(41619, 3), 124834, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(494, 2402, F49, 3, 3) (dual of [(2402, 3), 7202, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(494, 2402, F49, 2, 3) (dual of [(2402, 2), 4800, 4]-NRT-code), using
- linear OOA(4919, 39217, F49, 3, 7) (dual of [(39217, 3), 117632, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4919, 117651, F49, 7) (dual of [117651, 117632, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(4919, 117652, F49, 7) (dual of [117652, 117633, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- 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(4916, 117649, F49, 6) (dual of [117649, 117633, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(4919, 117652, F49, 7) (dual of [117652, 117633, 8]-code), using
- OOA 3-folding [i] based on linear OA(4919, 117651, F49, 7) (dual of [117651, 117632, 8]-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(4923, 41618, F49, 9, 7) (dual of [(41618, 9), 374539, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |