Information on Result #1022550
Linear OOA(8179, 5602122, F81, 3, 12) (dual of [(5602122, 3), 16806287, 13]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(813, 3240, F81, 3, 2) (dual of [(3240, 3), 9717, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(813, 6643, F81, 3, 2) (dual of [(6643, 3), 19926, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(813, 6643, F81, 2, 2) (dual of [(6643, 2), 13283, 3]-NRT-code), using
- appending kth column [i] based on linear OA(813, 6643, F81, 2) (dual of [6643, 6640, 3]-code), using
- Hamming code H(3,81) [i]
- appending kth column [i] based on linear OA(813, 6643, F81, 2) (dual of [6643, 6640, 3]-code), using
- appending 1 arbitrary column [i] based on linear OOA(813, 6643, F81, 2, 2) (dual of [(6643, 2), 13283, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(813, 6643, F81, 3, 2) (dual of [(6643, 3), 19926, 3]-NRT-code), using
- linear OOA(814, 3240, F81, 3, 3) (dual of [(3240, 3), 9716, 4]-NRT-code), using
- linear OOA(816, 3240, F81, 3, 4) (dual of [(3240, 3), 9714, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(816, 6480, F81, 4) (dual of [6480, 6474, 5]-code), using
- 1 times truncation [i] based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- OA 2-folding and stacking [i] based on linear OA(816, 6480, F81, 4) (dual of [6480, 6474, 5]-code), using
- linear OOA(8121, 2796201, F81, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8121, large, F81, 6) (dual of [large, large−21, 7]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(8121, large, F81, 6) (dual of [large, large−21, 7]-code), using
- linear OOA(8145, 2796201, F81, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 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.