Information on Result #1021467
Linear OOA(5146, 5592558, F5, 3, 12) (dual of [(5592558, 3), 16777528, 13]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(56, 78, F5, 3, 3) (dual of [(78, 3), 228, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(56, 185, F5, 3, 3) (dual of [(185, 3), 549, 4]-NRT-code), using
- linear OOA(58, 78, F5, 3, 4) (dual of [(78, 3), 226, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 8, 78)-net over F5, using
- linear OOA(541, 2796201, F5, 3, 6) (dual of [(2796201, 3), 8388562, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(541, large, F5, 6) (dual of [large, large−41, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(541, large, F5, 6) (dual of [large, large−41, 7]-code), using
- linear OOA(591, 2796201, F5, 3, 12) (dual of [(2796201, 3), 8388512, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(591, large, F5, 12) (dual of [large, large−91, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(591, large, F5, 12) (dual of [large, large−91, 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.