Information on Result #1117366
Linear OOA(3214, 4196494, F3, 5, 12) (dual of [(4196494, 5), 20982256, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(334, 2193, F3, 5, 6) (dual of [(2193, 5), 10931, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(334, 6579, F3, 6) (dual of [6579, 6545, 7]-code), using
- construction X4 applied to Ce(6) ⊂ Ce(3) [i] based on
- linear OA(333, 6561, F3, 7) (dual of [6561, 6528, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(317, 6561, F3, 4) (dual of [6561, 6544, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(317, 18, F3, 17) (dual of [18, 1, 18]-code or 18-arc in PG(16,3)), using
- dual of repetition code with length 18 [i]
- linear OA(31, 18, F3, 1) (dual of [18, 17, 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(3) [i] based on
- OA 3-folding and stacking [i] based on linear OA(334, 6579, F3, 6) (dual of [6579, 6545, 7]-code), using
- linear OOA(3180, 4194301, F3, 5, 12) (dual of [(4194301, 5), 20971325, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3180, 8388602, F3, 3, 12) (dual of [(8388602, 3), 25165626, 13]-NRT-code), using
- trace code [i] based on linear OOA(990, 4194301, F9, 3, 12) (dual of [(4194301, 3), 12582813, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(990, 8388602, F9, 2, 12) (dual of [(8388602, 2), 16777114, 13]-NRT-code), using
- trace code [i] based on linear OOA(8145, 4194301, F81, 2, 12) (dual of [(4194301, 2), 8388557, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8145, 8388602, F81, 12) (dual of [8388602, 8388557, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- OOA 2-folding [i] based on linear OA(8145, 8388602, F81, 12) (dual of [8388602, 8388557, 13]-code), using
- trace code [i] based on linear OOA(8145, 4194301, F81, 2, 12) (dual of [(4194301, 2), 8388557, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(990, 8388602, F9, 2, 12) (dual of [(8388602, 2), 16777114, 13]-NRT-code), using
- trace code [i] based on linear OOA(990, 4194301, F9, 3, 12) (dual of [(4194301, 3), 12582813, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3180, 8388602, F3, 3, 12) (dual of [(8388602, 3), 25165626, 13]-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.