Information on Result #2275521
Linear OA(4230, 326, F4, 101) (dual of [326, 96, 102]-code), using 1 times code embedding in larger space based on linear OA(4229, 325, F4, 101) (dual of [325, 96, 102]-code), using
- concatenation of two codes [i] based on
- linear OA(6433, 65, F64, 33) (dual of [65, 32, 34]-code or 65-arc in PG(32,64)), using
- extended Reed–Solomon code RSe(32,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
- linear OA(6433, 65, F64, 33) (dual of [65, 32, 34]-code or 65-arc in PG(32,64)), 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(4230, 163, F4, 2, 101) (dual of [(163, 2), 96, 102]-NRT-code) | [i] | OOA Folding |