Information on Result #1117575
Linear OOA(3197, 1913186, F3, 5, 15) (dual of [(1913186, 5), 9565733, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(357, 1594323, F3, 5, 7) (dual of [(1594323, 5), 7971558, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(357, 4782970, F3, 7) (dual of [4782970, 4782913, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- OOA 3-folding and stacking with additional row [i] based on linear OA(357, 4782970, F3, 7) (dual of [4782970, 4782913, 8]-code), using
- linear OOA(3140, 956593, F3, 5, 15) (dual of [(956593, 5), 4782825, 16]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3140, 4782965, F3, 15) (dual of [4782965, 4782825, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3140, 4782968, F3, 15) (dual of [4782968, 4782828, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(3140, 4782968, F3, 15) (dual of [4782968, 4782828, 16]-code), using
- OOA 5-folding [i] based on linear OA(3140, 4782965, F3, 15) (dual of [4782965, 4782825, 16]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.