Information on Result #1013009
Linear OOA(548, 5222, F5, 3, 9) (dual of [(5222, 3), 15618, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(55, 12, F5, 3, 4) (dual of [(12, 3), 31, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 12)-net over F5, using
- linear OOA(543, 5210, F5, 3, 9) (dual of [(5210, 3), 15587, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(543, 15630, F5, 9) (dual of [15630, 15587, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(543, 15631, F5, 9) (dual of [15631, 15588, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(543, 15625, F5, 9) (dual of [15625, 15582, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(537, 15625, F5, 8) (dual of [15625, 15588, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(50, 6, F5, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(543, 15631, F5, 9) (dual of [15631, 15588, 10]-code), using
- OOA 3-folding [i] based on linear OA(543, 15630, F5, 9) (dual of [15630, 15587, 10]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.