Information on Result #699733
Linear OA(12817, 2097159, F128, 6) (dual of [2097159, 2097142, 7]-code), using construction X applied to Ce(5) ⊂ Ce(3) based on
- linear OA(12816, 2097152, F128, 6) (dual of [2097152, 2097136, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(12810, 2097152, F128, 4) (dual of [2097152, 2097142, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(1281, 7, F128, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(12817, 699053, F128, 3, 6) (dual of [(699053, 3), 2097142, 7]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12817, 699053, F128, 4, 6) (dual of [(699053, 4), 2796195, 7]-NRT-code) | [i] | OA Folding and Stacking | |
| 3 | Linear OOA(12817, 699053, F128, 6, 6) (dual of [(699053, 6), 4194301, 7]-NRT-code) | [i] | ||