Information on Result #1013278
Linear OOA(569, 1053, F5, 3, 15) (dual of [(1053, 3), 3090, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(59, 12, F5, 3, 7) (dual of [(12, 3), 27, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,28P) [i] based on function field F/F5 with g(F) = 2 and N(F) ≥ 12, using
- linear OOA(560, 1041, F5, 3, 15) (dual of [(1041, 3), 3063, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(560, 3123, F5, 15) (dual of [3123, 3063, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(560, 3124, F5, 15) (dual of [3124, 3064, 16]-code), using
- 1 times truncation [i] based on linear OA(561, 3125, F5, 16) (dual of [3125, 3064, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 1 times truncation [i] based on linear OA(561, 3125, F5, 16) (dual of [3125, 3064, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(560, 3124, F5, 15) (dual of [3124, 3064, 16]-code), using
- OOA 3-folding [i] based on linear OA(560, 3123, F5, 15) (dual of [3123, 3063, 16]-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
None.