Information on Result #909577
Linear OOA(483, 45, F4, 2, 60) (dual of [(45, 2), 7, 61]-NRT-code), using juxtaposition based on
- linear OOA(419, 13, F4, 2, 16) (dual of [(13, 2), 7, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(419, 14, F4, 2, 16) (dual of [(14, 2), 9, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,11P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(419, 14, F4, 2, 16) (dual of [(14, 2), 9, 17]-NRT-code), using
- linear OOA(457, 32, F4, 2, 43) (dual of [(32, 2), 7, 44]-NRT-code), using
- OOA 2-folding [i] based on linear OA(457, 64, F4, 43) (dual of [64, 7, 44]-code), using
- an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- OOA 2-folding [i] based on linear OA(457, 64, F4, 43) (dual of [64, 7, 44]-code), 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(483, 45, F4, 2, 59) (dual of [(45, 2), 7, 60]-NRT-code) | [i] | Strength Reduction for OOAs | |