Information on Result #686238
Linear OA(8100, 2097160, F8, 17) (dual of [2097160, 2097060, 18]-code), using construction X applied to Ce(16) ⊂ Ce(14) based on
- linear OA(899, 2097152, F8, 17) (dual of [2097152, 2097053, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(892, 2097152, F8, 15) (dual of [2097152, 2097060, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 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 OA(899, 2097159, F8, 16) (dual of [2097159, 2097060, 17]-code) | [i] | Truncation | |
| 2 | Linear OOA(8100, 1048580, F8, 2, 17) (dual of [(1048580, 2), 2097060, 18]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8100, 699053, F8, 3, 17) (dual of [(699053, 3), 2097059, 18]-NRT-code) | [i] | ||