Information on Result #731809
Linear OA(8131, 138, F8, 102) (dual of [138, 7, 103]-code), using juxtaposition based on
- linear OA(858, 65, F8, 47) (dual of [65, 7, 48]-code), using
- discarding factors / shortening the dual code based on linear OA(858, 66, F8, 47) (dual of [66, 8, 48]-code), using
- construction X applied to Ce(46) ⊂ Ce(45) [i] based on
- linear OA(858, 64, F8, 47) (dual of [64, 6, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(856, 64, F8, 46) (dual of [64, 8, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(80, 2, F8, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(46) ⊂ Ce(45) [i] based on
- discarding factors / shortening the dual code based on linear OA(858, 66, F8, 47) (dual of [66, 8, 48]-code), using
- linear OA(866, 73, F8, 54) (dual of [73, 7, 55]-code), 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(8131, 69, F8, 2, 102) (dual of [(69, 2), 7, 103]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8131, 46, F8, 3, 102) (dual of [(46, 3), 7, 103]-NRT-code) | [i] | ||