Information on Result #1083160
Linear OOA(12870, 2102611, F128, 4, 15) (dual of [(2102611, 4), 8410374, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12813, 5461, F128, 4, 7) (dual of [(5461, 4), 21831, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(12813, 16384, F128, 7) (dual of [16384, 16371, 8]-code), using
- an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding and stacking with additional row [i] based on linear OA(12813, 16384, F128, 7) (dual of [16384, 16371, 8]-code), using
- linear OOA(12857, 2097150, F128, 4, 15) (dual of [(2097150, 4), 8388543, 16]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12857, 8388600, F128, 15) (dual of [8388600, 8388543, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(12857, large, F128, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(12857, large, F128, 15) (dual of [large, large−57, 16]-code), using
- OOA 4-folding [i] based on linear OA(12857, 8388600, F128, 15) (dual of [8388600, 8388543, 16]-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.