Information on Result #1080966
Linear OOA(3136, 4194308, F3, 4, 10) (dual of [(4194308, 4), 16777096, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(36, 7, F3, 4, 5) (dual of [(7, 4), 22, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,22P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OOA(3130, 4194301, F3, 4, 10) (dual of [(4194301, 4), 16777074, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3130, 8388602, F3, 2, 10) (dual of [(8388602, 2), 16777074, 11]-NRT-code), using
- trace code [i] based on linear OOA(965, 4194301, F9, 2, 10) (dual of [(4194301, 2), 8388537, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(965, 8388602, F9, 10) (dual of [8388602, 8388537, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(965, large, F9, 10) (dual of [large, large−65, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(965, large, F9, 10) (dual of [large, large−65, 11]-code), using
- OOA 2-folding [i] based on linear OA(965, 8388602, F9, 10) (dual of [8388602, 8388537, 11]-code), using
- trace code [i] based on linear OOA(965, 4194301, F9, 2, 10) (dual of [(4194301, 2), 8388537, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3130, 8388602, F3, 2, 10) (dual of [(8388602, 2), 16777074, 11]-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.