Information on Result #682093
Linear OA(449, 86, F4, 21) (dual of [86, 37, 22]-code), using construction XX applied to Ce(20) ⊂ Ce(12) ⊂ Ce(10) based on
- linear OA(437, 64, F4, 21) (dual of [64, 27, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(428, 64, F4, 13) (dual of [64, 36, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(425, 64, F4, 11) (dual of [64, 39, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(410, 20, F4, 7) (dual of [20, 10, 8]-code), using
- extended quadratic residue code Qe(20,4) [i]
- linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [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 OOA(449, 43, F4, 2, 21) (dual of [(43, 2), 37, 22]-NRT-code) | [i] | OOA Folding | |