Information on Result #1013429
Linear OOA(5100, 1059, F5, 3, 22) (dual of [(1059, 3), 3077, 23]-NRT-code), using (u, u+v)-construction based on
- linear OOA(514, 16, F5, 3, 11) (dual of [(16, 3), 34, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,36P) [i] based on function field F/F5 with g(F) = 3 and N(F) ≥ 16, using
- linear OOA(586, 1043, F5, 3, 22) (dual of [(1043, 3), 3043, 23]-NRT-code), using
- OOA 3-folding [i] based on linear OA(586, 3129, F5, 22) (dual of [3129, 3043, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(586, 3130, F5, 22) (dual of [3130, 3044, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(586, 3125, F5, 22) (dual of [3125, 3039, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(581, 3125, F5, 21) (dual of [3125, 3044, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(21) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(586, 3130, F5, 22) (dual of [3130, 3044, 23]-code), using
- OOA 3-folding [i] based on linear OA(586, 3129, F5, 22) (dual of [3129, 3043, 23]-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.