Information on Result #1013332
Linear OOA(577, 1059, F5, 3, 17) (dual of [(1059, 3), 3100, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(511, 16, F5, 3, 8) (dual of [(16, 3), 37, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,39P) [i] based on function field F/F5 with g(F) = 3 and N(F) ≥ 16, using
- linear OOA(566, 1043, F5, 3, 17) (dual of [(1043, 3), 3063, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(566, 3129, F5, 17) (dual of [3129, 3063, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(566, 3130, F5, 17) (dual of [3130, 3064, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(566, 3125, F5, 17) (dual of [3125, 3059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- 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]
- linear OA(50, 5, F5, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(566, 3130, F5, 17) (dual of [3130, 3064, 18]-code), using
- OOA 3-folding [i] based on linear OA(566, 3129, F5, 17) (dual of [3129, 3063, 18]-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.