Information on Result #900985
Linear OOA(27108, 265808, F27, 2, 23) (dual of [(265808, 2), 531508, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2719, 86, F27, 2, 11) (dual of [(86, 2), 153, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(276, 38, F27, 2, 5) (dual of [(38, 2), 70, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,70P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OOA(2713, 48, F27, 2, 11) (dual of [(48, 2), 83, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,84P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- linear OOA(276, 38, F27, 2, 5) (dual of [(38, 2), 70, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2789, 265722, F27, 2, 23) (dual of [(265722, 2), 531355, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2789, 531444, F27, 23) (dual of [531444, 531355, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2789, 531445, F27, 23) (dual of [531445, 531356, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(2789, 531441, F27, 23) (dual of [531441, 531352, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2785, 531441, F27, 22) (dual of [531441, 531356, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(2789, 531445, F27, 23) (dual of [531445, 531356, 24]-code), using
- OOA 2-folding [i] based on linear OA(2789, 531444, F27, 23) (dual of [531444, 531355, 24]-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.