Information on Result #1117565
Linear OOA(3243, 4195033, F3, 5, 14) (dual of [(4195033, 5), 20974922, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(331, 732, F3, 5, 7) (dual of [(732, 5), 3629, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(331, 2197, F3, 7) (dual of [2197, 2166, 8]-code), using
- 1 times code embedding in larger space [i] based on linear OA(330, 2196, F3, 7) (dual of [2196, 2166, 8]-code), using
- construction X4 applied to Ce(6) ⊂ Ce(4) [i] based on
- linear OA(329, 2187, F3, 7) (dual of [2187, 2158, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(322, 2187, F3, 5) (dual of [2187, 2165, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(38, 9, F3, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,3)), using
- dual of repetition code with length 9 [i]
- linear OA(31, 9, F3, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(6) ⊂ Ce(4) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(330, 2196, F3, 7) (dual of [2196, 2166, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(331, 2197, F3, 7) (dual of [2197, 2166, 8]-code), using
- linear OOA(3212, 4194301, F3, 5, 14) (dual of [(4194301, 5), 20971293, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3212, 8388602, F3, 3, 14) (dual of [(8388602, 3), 25165594, 15]-NRT-code), using
- trace code [i] based on linear OOA(9106, 4194301, F9, 3, 14) (dual of [(4194301, 3), 12582797, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(9106, 8388602, F9, 2, 14) (dual of [(8388602, 2), 16777098, 15]-NRT-code), using
- trace code [i] based on linear OOA(8153, 4194301, F81, 2, 14) (dual of [(4194301, 2), 8388549, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8153, 8388602, F81, 14) (dual of [8388602, 8388549, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- OOA 2-folding [i] based on linear OA(8153, 8388602, F81, 14) (dual of [8388602, 8388549, 15]-code), using
- trace code [i] based on linear OOA(8153, 4194301, F81, 2, 14) (dual of [(4194301, 2), 8388549, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(9106, 8388602, F9, 2, 14) (dual of [(8388602, 2), 16777098, 15]-NRT-code), using
- trace code [i] based on linear OOA(9106, 4194301, F9, 3, 14) (dual of [(4194301, 3), 12582797, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3212, 8388602, F3, 3, 14) (dual of [(8388602, 3), 25165594, 15]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.