Information on Result #730929
Linear OA(4131, 138, F4, 93) (dual of [138, 7, 94]-code), using repeating each code word 2 times based on linear OA(462, 69, F4, 46) (dual of [69, 7, 47]-code), using
- construction X applied to C([1,140]) ⊂ C([1,128]) [i] based on
- linear OA(459, 63, F4, 46) (dual of [63, 4, 47]-code), using contraction [i] based on linear OA(4185, 189, F4, 140) (dual of [189, 4, 141]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,140], and designed minimum distance d ≥ |I|+1 = 141 [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(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
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(4131, 138, F4, 92) (dual of [138, 7, 93]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(4131, 69, F4, 2, 93) (dual of [(69, 2), 7, 94]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4131, 46, F4, 3, 93) (dual of [(46, 3), 7, 94]-NRT-code) | [i] | ||