Information on Result #737452
Linear OA(484, 92, F4, 58) (dual of [92, 8, 59]-code), using construction XX applied to C([1,188]) ⊂ C([1,128]) ⊂ C([1,125]) based on
- linear OA(462, 63, F4, 62) (dual of [63, 1, 63]-code or 63-arc in PG(61,4)), using contraction [i] based on linear OA(4188, 189, F4, 188) (dual of [189, 1, 189]-code or 189-arc in PG(187,4)), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,188], and designed minimum distance d ≥ |I|+1 = 189 [i]
- linear OA(456, 63, F4, 42) (dual of [63, 7, 43]-code), using contraction [i] based on linear OA(4182, 189, F4, 128) (dual of [189, 7, 129]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,128], and designed minimum distance d ≥ |I|+1 = 129 [i]
- linear OA(455, 63, F4, 41) (dual of [63, 8, 42]-code), using contraction [i] based on linear OA(4181, 189, F4, 125) (dual of [189, 8, 126]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,125], and designed minimum distance d ≥ |I|+1 = 126 [i]
- linear OA(421, 28, F4, 15) (dual of [28, 7, 16]-code), 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.
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(484, 92, F4, 57) (dual of [92, 8, 58]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(484, 46, F4, 2, 58) (dual of [(46, 2), 8, 59]-NRT-code) | [i] | OOA Folding | |