Information on Result #1117209
Linear OOA(3141, 1766299, F3, 5, 11) (dual of [(1766299, 5), 8831354, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(335, 88579, F3, 5, 5) (dual of [(88579, 5), 442860, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(335, 177159, F3, 5) (dual of [177159, 177124, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(335, 177160, F3, 5) (dual of [177160, 177125, 6]-code), using
- construction X4 applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(334, 177147, F3, 5) (dual of [177147, 177113, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(323, 177147, F3, 4) (dual of [177147, 177124, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(312, 13, F3, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,3)), using
- dual of repetition code with length 13 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 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(4) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(335, 177160, F3, 5) (dual of [177160, 177125, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(335, 177159, F3, 5) (dual of [177159, 177124, 6]-code), using
- linear OOA(3106, 1677720, F3, 5, 11) (dual of [(1677720, 5), 8388494, 12]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3106, 8388600, F3, 11) (dual of [8388600, 8388494, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(3106, large, F3, 11) (dual of [large, large−106, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(3106, large, F3, 11) (dual of [large, large−106, 12]-code), using
- OOA 5-folding [i] based on linear OA(3106, 8388600, F3, 11) (dual of [8388600, 8388494, 12]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3141, 1766298, F3, 15, 11) (dual of [(1766298, 15), 26494329, 12]-NRT-code) | [i] | OOA Stacking with Additional Row | |