Information on Result #1015943
Linear OOA(977, 5858125, F9, 3, 8) (dual of [(5858125, 3), 17574298, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(919, 265723, F9, 3, 4) (dual of [(265723, 3), 797150, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(919, 531446, F9, 4) (dual of [531446, 531427, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(919, 531447, F9, 4) (dual of [531447, 531428, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(919, 531441, F9, 4) (dual of [531441, 531422, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(913, 531441, F9, 3) (dual of [531441, 531428, 4]-code or 531441-cap in PG(12,9)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(90, 6, F9, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- discarding factors / shortening the dual code based on linear OA(919, 531447, F9, 4) (dual of [531447, 531428, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(919, 531446, F9, 4) (dual of [531446, 531427, 5]-code), using
- linear OOA(958, 5592402, F9, 3, 8) (dual of [(5592402, 3), 16777148, 9]-NRT-code), using
- trace code [i] based on linear OOA(8129, 2796201, F81, 3, 8) (dual of [(2796201, 3), 8388574, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8129, large, F81, 8) (dual of [large, large−29, 9]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- OOA 3-folding [i] based on linear OA(8129, large, F81, 8) (dual of [large, large−29, 9]-code), using
- trace code [i] based on linear OOA(8129, 2796201, F81, 3, 8) (dual of [(2796201, 3), 8388574, 9]-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.