Information on Result #944410
Linear OOA(339, 265729, F3, 3, 5) (dual of [(265729, 3), 797148, 6]-NRT-code), using OOA stacking with additional row based on linear OOA(339, 265730, F3, 2, 5) (dual of [(265730, 2), 531421, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(32, 4, F3, 2, 2) (dual of [(4, 2), 6, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;6,3) [i]
- linear OOA(337, 265726, F3, 2, 5) (dual of [(265726, 2), 531415, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(337, 531452, F3, 5) (dual of [531452, 531415, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(337, 531453, F3, 5) (dual of [531453, 531416, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(337, 531441, F3, 5) (dual of [531441, 531404, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(325, 531441, F3, 4) (dual of [531441, 531416, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(30, 12, F3, 0) (dual of [12, 12, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(337, 531453, F3, 5) (dual of [531453, 531416, 6]-code), using
- OOA 2-folding [i] based on linear OA(337, 531452, F3, 5) (dual of [531452, 531415, 6]-code), using
- linear OOA(32, 4, F3, 2, 2) (dual of [(4, 2), 6, 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.