Information on Result #903254
Linear OOA(4943, 58926, F49, 2, 12) (dual of [(58926, 2), 117809, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(499, 100, F49, 2, 6) (dual of [(100, 2), 191, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(493, 50, F49, 2, 3) (dual of [(50, 2), 97, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;97,49) [i]
- linear OOA(496, 50, F49, 2, 6) (dual of [(50, 2), 94, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;94,49) [i]
- linear OOA(493, 50, F49, 2, 3) (dual of [(50, 2), 97, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(4934, 58826, F49, 2, 12) (dual of [(58826, 2), 117618, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4934, 117652, F49, 12) (dual of [117652, 117618, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(4934, 117649, F49, 12) (dual of [117649, 117615, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(4931, 117649, F49, 11) (dual of [117649, 117618, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(490, 3, F49, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- OOA 2-folding [i] based on linear OA(4934, 117652, F49, 12) (dual of [117652, 117618, 13]-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.