Information on Result #1013964
Linear OOA(783, 39232, F7, 3, 15) (dual of [(39232, 3), 117613, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(710, 16, F7, 3, 7) (dual of [(16, 3), 38, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(73, 8, F7, 3, 3) (dual of [(8, 3), 21, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;21,7) [i]
- linear OOA(77, 8, F7, 3, 7) (dual of [(8, 3), 17, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;17,7) [i]
- linear OOA(73, 8, F7, 3, 3) (dual of [(8, 3), 21, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(773, 39216, F7, 3, 15) (dual of [(39216, 3), 117575, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(773, 117648, F7, 15) (dual of [117648, 117575, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(773, 117649, F7, 15) (dual of [117649, 117576, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(773, 117649, F7, 15) (dual of [117649, 117576, 16]-code), using
- OOA 3-folding [i] based on linear OA(773, 117648, F7, 15) (dual of [117648, 117575, 16]-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
None.