Information on Result #1486903
Linear OOA(789, 411787, F7, 3, 14) (dual of [(411787, 3), 1235272, 15]-NRT-code), using OOA 2-folding based on linear OOA(789, 823574, F7, 2, 14) (dual of [(823574, 2), 1647059, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(789, 823575, F7, 2, 14) (dual of [(823575, 2), 1647061, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(789, 823575, F7, 14) (dual of [823575, 823486, 15]-code), using
- construction X applied to Ce(14) ⊂ Ce(9) [i] based on
- linear OA(785, 823543, F7, 15) (dual of [823543, 823458, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(757, 823543, F7, 10) (dual of [823543, 823486, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(74, 32, F7, 3) (dual of [32, 28, 4]-code or 32-cap in PG(3,7)), using
- construction X applied to Ce(14) ⊂ Ce(9) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(789, 823575, F7, 14) (dual of [823575, 823486, 15]-code), using
Mode: 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.