Information on Result #1013173
Linear OOA(5144, 5592435, F5, 3, 12) (dual of [(5592435, 3), 16777161, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(544, 2796207, F5, 3, 6) (dual of [(2796207, 3), 8388577, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(53, 6, F5, 3, 3) (dual of [(6, 3), 15, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;15,5) [i]
- 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(53, 6, F5, 3, 3) (dual of [(6, 3), 15, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(5100, 2796228, F5, 3, 12) (dual of [(2796228, 3), 8388584, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(59, 27, F5, 3, 6) (dual of [(27, 3), 72, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 9, 27)-net over F5, 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
- linear OOA(59, 27, F5, 3, 6) (dual of [(27, 3), 72, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
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.