Information on Result #2245535
Linear OA(5100, 108, F5, 75) (dual of [108, 8, 76]-code), using 18 times truncation 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
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(5100, 54, F5, 2, 75) (dual of [(54, 2), 8, 76]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5100, 36, F5, 3, 75) (dual of [(36, 3), 8, 76]-NRT-code) | [i] | ||