Information on Result #1021329
Linear OOA(5148, 5592714, F5, 3, 12) (dual of [(5592714, 3), 16777994, 13]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(52, 6, F5, 3, 2) (dual of [(6, 3), 16, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;16,5) [i]
- 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(511, 300, F5, 3, 4) (dual of [(300, 3), 889, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(511, 600, F5, 4) (dual of [600, 589, 5]-code), using
- base reduction for projective spaces (embedding PG(5,25) in PG(10,5)) [i] based on linear OA(256, 600, F25, 4) (dual of [600, 594, 5]-code), using
- 1 times truncation [i] based on linear OA(257, 601, F25, 5) (dual of [601, 594, 6]-code), using
- base reduction for projective spaces (embedding PG(5,25) in PG(10,5)) [i] based on linear OA(256, 600, F25, 4) (dual of [600, 594, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(511, 600, F5, 4) (dual of [600, 589, 5]-code), 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.