Information on Result #1014684
Linear OOA(8151, 5592572, F8, 3, 17) (dual of [(5592572, 3), 16777565, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(821, 170, F8, 3, 8) (dual of [(170, 3), 489, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(821, 510, F8, 8) (dual of [510, 489, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(821, 511, F8, 8) (dual of [511, 490, 9]-code), using
- the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(821, 511, F8, 8) (dual of [511, 490, 9]-code), using
- OOA 3-folding [i] based on linear OA(821, 510, F8, 8) (dual of [510, 489, 9]-code), using
- linear OOA(8130, 5592402, F8, 3, 17) (dual of [(5592402, 3), 16777076, 18]-NRT-code), using
- trace code [i] based on linear OOA(6465, 2796201, F64, 3, 17) (dual of [(2796201, 3), 8388538, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6465, large, F64, 17) (dual of [large, large−65, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6465, large, F64, 17) (dual of [large, large−65, 18]-code), using
- trace code [i] based on linear OOA(6465, 2796201, F64, 3, 17) (dual of [(2796201, 3), 8388538, 18]-NRT-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.