Information on Result #2797189
Linear OOA(3222, large, F3, 4, 8), using 32 times duplication based on linear OOA(3220, large, F3, 4, 8), using
- strength reduction [i] based on linear OOA(3220, large, F3, 4, 14), using
- trace code [i] based on linear OOA(8155, 2097151, F81, 4, 14) (dual of [(2097151, 4), 8388549, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(8155, 4194302, F81, 2, 14) (dual of [(4194302, 2), 8388549, 15]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(8153, 4194301, F81, 2, 14) (dual of [(4194301, 2), 8388549, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8153, 8388602, F81, 14) (dual of [8388602, 8388549, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- OOA 2-folding [i] based on linear OA(8153, 8388602, F81, 14) (dual of [8388602, 8388549, 15]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(8153, 4194301, F81, 2, 14) (dual of [(4194301, 2), 8388549, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(8155, 4194302, F81, 2, 14) (dual of [(4194302, 2), 8388549, 15]-NRT-code), using
- trace code [i] based on linear OOA(8155, 2097151, F81, 4, 14) (dual of [(2097151, 4), 8388549, 15]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.