Information on Result #839746
Linear OOA(5106, 57, F5, 2, 81) (dual of [(57, 2), 8, 82]-NRT-code), using OOA 2-folding based on linear OA(5106, 114, F5, 81) (dual of [114, 8, 82]-code), using
- 12 times truncation [i] based on linear OA(5118, 126, F5, 93) (dual of [126, 8, 94]-code), using
- strength reduction [i] based on linear OA(5118, 126, F5, 94) (dual of [126, 8, 95]-code), using
- construction X applied to Ce(93) ⊂ Ce(92) [i] based on
- linear OA(5118, 125, F5, 94) (dual of [125, 7, 95]-code), using an extension Ce(93) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,93], and designed minimum distance d ≥ |I|+1 = 94 [i]
- linear OA(5117, 125, F5, 93) (dual of [125, 8, 94]-code), using an extension Ce(92) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,92], and designed minimum distance d ≥ |I|+1 = 93 [i]
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(93) ⊂ Ce(92) [i] based on
- strength reduction [i] based on linear OA(5118, 126, F5, 94) (dual of [126, 8, 95]-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(5106, 57, F5, 2, 80) (dual of [(57, 2), 8, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5106, 57, F5, 2, 79) (dual of [(57, 2), 8, 80]-NRT-code) | [i] | ||