Information on Result #944635
Linear OOA(728, 117659, F7, 3, 5) (dual of [(117659, 3), 352949, 6]-NRT-code), using OOA stacking with additional row based on linear OOA(728, 117660, F7, 2, 5) (dual of [(117660, 2), 235292, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(72, 8, F7, 2, 2) (dual of [(8, 2), 14, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;14,7) [i]
- linear OOA(726, 117652, F7, 2, 5) (dual of [(117652, 2), 235278, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(726, 235304, F7, 5) (dual of [235304, 235278, 6]-code), using
- trace code [i] based on linear OA(4913, 117652, F49, 5) (dual of [117652, 117639, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(4913, 117649, F49, 5) (dual of [117649, 117636, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(4910, 117649, F49, 4) (dual of [117649, 117639, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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(4) ⊂ Ce(3) [i] based on
- trace code [i] based on linear OA(4913, 117652, F49, 5) (dual of [117652, 117639, 6]-code), using
- OOA 2-folding [i] based on linear OA(726, 235304, F7, 5) (dual of [235304, 235278, 6]-code), using
- linear OOA(72, 8, F7, 2, 2) (dual of [(8, 2), 14, 3]-NRT-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.