Information on Result #1069012
Linear OOA(8182, 2097232, F81, 4, 18) (dual of [(2097232, 4), 8388846, 19]-NRT-code), using OOA 2-folding based on linear OOA(8182, 4194464, F81, 2, 18) (dual of [(4194464, 2), 8388846, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8182, 4194465, F81, 2, 18) (dual of [(4194465, 2), 8388848, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8113, 164, F81, 2, 9) (dual of [(164, 2), 315, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(814, 82, F81, 2, 4) (dual of [(82, 2), 160, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;160,81) [i]
- linear OOA(819, 82, F81, 2, 9) (dual of [(82, 2), 155, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;155,81) [i]
- linear OOA(814, 82, F81, 2, 4) (dual of [(82, 2), 160, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8169, 4194301, F81, 2, 18) (dual of [(4194301, 2), 8388533, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8169, 8388602, F81, 18) (dual of [8388602, 8388533, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(8169, large, F81, 18) (dual of [large, large−69, 19]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(8169, large, F81, 18) (dual of [large, large−69, 19]-code), using
- OOA 2-folding [i] based on linear OA(8169, 8388602, F81, 18) (dual of [8388602, 8388533, 19]-code), using
- linear OOA(8113, 164, F81, 2, 9) (dual of [(164, 2), 315, 10]-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.