Information on Result #1013549
Linear OOA(5147, 1063, F5, 3, 32) (dual of [(1063, 3), 3042, 33]-NRT-code), using (u, u+v)-construction based on
- linear OOA(521, 20, F5, 3, 16) (dual of [(20, 3), 39, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,43P) [i] based on function field F/F5 with g(F) = 5 and N(F) ≥ 20, using
- linear OOA(5126, 1043, F5, 3, 32) (dual of [(1043, 3), 3003, 33]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5126, 3129, F5, 32) (dual of [3129, 3003, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(5126, 3130, F5, 32) (dual of [3130, 3004, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- linear OA(5126, 3125, F5, 32) (dual of [3125, 2999, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(5121, 3125, F5, 31) (dual of [3125, 3004, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(31) ⊂ Ce(30) [i] based on
- discarding factors / shortening the dual code based on linear OA(5126, 3130, F5, 32) (dual of [3130, 3004, 33]-code), using
- OOA 3-folding [i] based on linear OA(5126, 3129, F5, 32) (dual of [3129, 3003, 33]-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.