Information on Result #684255
Linear OA(594, 137, F5, 47) (dual of [137, 43, 48]-code), using construction XX applied to Ce(46) ⊂ Ce(42) ⊂ Ce(41) based on
- linear OA(589, 125, F5, 47) (dual of [125, 36, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(583, 125, F5, 43) (dual of [125, 42, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(580, 125, F5, 42) (dual of [125, 45, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(54, 11, F5, 3) (dual of [11, 7, 4]-code or 11-cap in PG(3,5)), using
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(594, 68, F5, 2, 47) (dual of [(68, 2), 42, 48]-NRT-code) | [i] | OOA Folding | |