Information on Result #731772
Linear OA(4153, 159, F4, 111) (dual of [159, 6, 112]-code), using juxtaposition based on
- linear OA(463, 69, F4, 47) (dual of [69, 6, 48]-code), using
- construction X applied to C([0,140]) ⊂ C([0,128]) [i] based on
- linear OA(460, 63, F4, 47) (dual of [63, 3, 48]-code), using contraction [i] based on linear OA(4186, 189, F4, 143) (dual of [189, 3, 144]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,140], and minimum distance d ≥ |{−7,−2,3,…,−53}|+1 = 144 (BCH-bound) [i]
- linear OA(457, 63, F4, 43) (dual of [63, 6, 44]-code), using contraction [i] based on linear OA(4183, 189, F4, 131) (dual of [189, 6, 132]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,128], and minimum distance d ≥ |{−2,−1,…,128}|+1 = 132 (BCH-bound) [i]
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
- construction X applied to C([0,140]) ⊂ C([0,128]) [i] based on
- linear OA(484, 90, F4, 63) (dual of [90, 6, 64]-code), using
- concatenation of two codes [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 OA(4153, 159, F4, 110) (dual of [159, 6, 111]-code) | [i] | Strength Reduction | |