Information on Result #1117943
Linear OOA(3210, 3950, F3, 5, 32) (dual of [(3950, 5), 19540, 33]-NRT-code), using (u, u+v)-construction based on
- linear OOA(320, 12, F3, 5, 16) (dual of [(12, 5), 40, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,43P) [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using
- linear OOA(3190, 3938, F3, 5, 32) (dual of [(3938, 5), 19500, 33]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3190, 19690, F3, 32) (dual of [19690, 19500, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(3190, 19692, F3, 32) (dual of [19692, 19502, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- linear OA(3190, 19683, F3, 32) (dual of [19683, 19493, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3181, 19683, F3, 31) (dual of [19683, 19502, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(30, 9, F3, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 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(3190, 19692, F3, 32) (dual of [19692, 19502, 33]-code), using
- OOA 5-folding [i] based on linear OA(3190, 19690, F3, 32) (dual of [19690, 19500, 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.