Information on Result #1081030
Linear OOA(3127, 2097157, F3, 4, 12) (dual of [(2097157, 4), 8388501, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(37, 7, F3, 4, 6) (dual of [(7, 4), 21, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,21P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OOA(3120, 2097150, F3, 4, 12) (dual of [(2097150, 4), 8388480, 13]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3120, 8388600, F3, 12) (dual of [8388600, 8388480, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
- OOA 4-folding [i] based on linear OA(3120, 8388600, F3, 12) (dual of [8388600, 8388480, 13]-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.