Information on Result #1717852
Digital (63, 77, 3817)-net over F4, using net defined by OOA based on linear OOA(477, 3817, F4, 21, 14) (dual of [(3817, 21), 80080, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(477, 11452, F4, 3, 14) (dual of [(11452, 3), 34279, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(477, 11454, F4, 3, 14) (dual of [(11454, 3), 34285, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(477, 11454, F4, 14) (dual of [11454, 11377, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(477, 16412, F4, 14) (dual of [16412, 16335, 15]-code), using
- construction XX applied to Ce(13) ⊂ Ce(9) ⊂ Ce(8) [i] based on
- linear OA(471, 16384, F4, 14) (dual of [16384, 16313, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(450, 16384, F4, 10) (dual of [16384, 16334, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(443, 16384, F4, 9) (dual of [16384, 16341, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(45, 27, F4, 3) (dual of [27, 22, 4]-code or 27-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(13) ⊂ Ce(9) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(477, 16412, F4, 14) (dual of [16412, 16335, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(477, 11454, F4, 14) (dual of [11454, 11377, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(477, 11454, F4, 3, 14) (dual of [(11454, 3), 34285, 15]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.