Information on Result #1013014
Linear OOA(563, 130238, F5, 3, 9) (dual of [(130238, 3), 390651, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(56, 27, F5, 3, 4) (dual of [(27, 3), 75, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 6, 27)-net over F5, using
- linear OOA(557, 130211, F5, 3, 9) (dual of [(130211, 3), 390576, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(557, 390633, F5, 9) (dual of [390633, 390576, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(557, 390625, F5, 9) (dual of [390625, 390568, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(549, 390625, F5, 8) (dual of [390625, 390576, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(50, 8, F5, 0) (dual of [8, 8, 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
- OOA 3-folding [i] based on linear OA(557, 390633, F5, 9) (dual of [390633, 390576, 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.