Information on Result #1017346
Linear OOA(4949, 39270, F49, 3, 14) (dual of [(39270, 3), 117761, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(497, 50, F49, 3, 7) (dual of [(50, 3), 143, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;143,49) [i]
- linear OOA(4942, 39220, F49, 3, 14) (dual of [(39220, 3), 117618, 15]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4942, 117660, F49, 14) (dual of [117660, 117618, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- linear OA(4940, 117649, F49, 14) (dual of [117649, 117609, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(492, 11, F49, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,49)), using
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using
- Reed–Solomon code RS(47,49) [i]
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- OOA 3-folding [i] based on linear OA(4942, 117660, F49, 14) (dual of [117660, 117618, 15]-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.