Information on Result #699723
Linear OA(12877, 2097159, F128, 26) (dual of [2097159, 2097082, 27]-code), using construction X applied to Ce(25) ⊂ Ce(23) based on
- linear OA(12876, 2097152, F128, 26) (dual of [2097152, 2097076, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(12870, 2097152, F128, 24) (dual of [2097152, 2097082, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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 | OA(32108, 2097159, S32, 26) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(6490, 2097159, S64, 26) | [i] | ||
| 3 | Linear OOA(12877, 1048579, F128, 2, 26) (dual of [(1048579, 2), 2097081, 27]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(12877, 699053, F128, 3, 26) (dual of [(699053, 3), 2097082, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(12877, 524289, F128, 4, 26) (dual of [(524289, 4), 2097079, 27]-NRT-code) | [i] | ||