Information on Result #1013528
Linear OOA(5134, 1061, F5, 3, 29) (dual of [(1061, 3), 3049, 30]-NRT-code), using (u, u+v)-construction based on
- linear OOA(518, 18, F5, 3, 14) (dual of [(18, 3), 36, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,39P) [i] based on function field F/F5 with g(F) = 4 and N(F) ≥ 18, using
- linear OOA(5116, 1043, F5, 3, 29) (dual of [(1043, 3), 3013, 30]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5116, 3129, F5, 29) (dual of [3129, 3013, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(5116, 3130, F5, 29) (dual of [3130, 3014, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(5116, 3125, F5, 29) (dual of [3125, 3009, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(5111, 3125, F5, 28) (dual of [3125, 3014, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(28) ⊂ Ce(27) [i] based on
- discarding factors / shortening the dual code based on linear OA(5116, 3130, F5, 29) (dual of [3130, 3014, 30]-code), using
- OOA 3-folding [i] based on linear OA(5116, 3129, F5, 29) (dual of [3129, 3013, 30]-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.