Information on Result #680085
Linear OA(4204, 1384, F4, 46) (dual of [1384, 1180, 47]-code), using construction XX applied to Ce(45) ⊂ Ce(41) ⊂ Ce(40) based on
- linear OA(4199, 1366, F4, 46) (dual of [1366, 1167, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(4187, 1366, F4, 42) (dual of [1366, 1179, 43]-code), using an extension Ce(41) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4181, 1366, F4, 41) (dual of [1366, 1185, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
- linear OA(40, 1, F4, 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(4204, 692, F4, 2, 46) (dual of [(692, 2), 1180, 47]-NRT-code) | [i] | OOA Folding | |