Information on Result #1013025
Linear OOA(5106, 5592414, F5, 3, 9) (dual of [(5592414, 3), 16777136, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(531, 4194301, F5, 3, 4) (dual of [(4194301, 3), 12582872, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(531, 8388602, F5, 4) (dual of [8388602, 8388571, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(531, large, F5, 4) (dual of [large, large−31, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(531, large, F5, 4) (dual of [large, large−31, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(531, 8388602, F5, 4) (dual of [8388602, 8388571, 5]-code), using
- linear OOA(575, 2796207, F5, 3, 9) (dual of [(2796207, 3), 8388546, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(54, 6, F5, 3, 4) (dual of [(6, 3), 14, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;14,5) [i]
- linear OOA(571, 2796201, F5, 3, 9) (dual of [(2796201, 3), 8388532, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(571, large, F5, 9) (dual of [large, large−71, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- OOA 3-folding [i] based on linear OA(571, large, F5, 9) (dual of [large, large−71, 10]-code), using
- linear OOA(54, 6, F5, 3, 4) (dual of [(6, 3), 14, 5]-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.