Information on Result #1117080
Linear OOA(3126, 1753761, F3, 5, 10) (dual of [(1753761, 5), 8768679, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(341, 797168, F3, 5, 5) (dual of [(797168, 5), 3985799, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(341, 1594337, F3, 5) (dual of [1594337, 1594296, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(341, 1594338, F3, 5) (dual of [1594338, 1594297, 6]-code), using
- construction X4 applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(340, 1594323, F3, 5) (dual of [1594323, 1594283, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(327, 1594323, F3, 4) (dual of [1594323, 1594296, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(314, 15, F3, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,3)), using
- dual of repetition code with length 15 [i]
- linear OA(31, 15, F3, 1) (dual of [15, 14, 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(341, 1594338, F3, 5) (dual of [1594338, 1594297, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(341, 1594337, F3, 5) (dual of [1594337, 1594296, 6]-code), using
- linear OOA(385, 956593, F3, 5, 10) (dual of [(956593, 5), 4782880, 11]-NRT-code), using
- OOA 5-folding [i] based on linear OA(385, 4782965, F3, 10) (dual of [4782965, 4782880, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(385, 4782969, F3, 10) (dual of [4782969, 4782884, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(385, 4782969, F3, 10) (dual of [4782969, 4782884, 11]-code), using
- OOA 5-folding [i] based on linear OA(385, 4782965, F3, 10) (dual of [4782965, 4782880, 11]-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.