Information on Result #683944
Linear OA(5124, 325, F5, 41) (dual of [325, 201, 42]-code), using construction XX applied to Ce(40) ⊂ Ce(36) ⊂ Ce(35) based on
- linear OA(5119, 313, F5, 41) (dual of [313, 194, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(5113, 313, F5, 37) (dual of [313, 200, 38]-code), using an extension Ce(36) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(5109, 313, F5, 36) (dual of [313, 204, 37]-code), using an extension Ce(35) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [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(5124, 162, F5, 2, 41) (dual of [(162, 2), 200, 42]-NRT-code) | [i] | OOA Folding |