Line graph transforms (LGTs) using 8-bit and 10-bit cores

A method of encoding using at least one processor, the method comprising:

• receiving video data;
• identifying one or more transform cores associated with the video data, wherein the one or more transform cores comprise one or more of a line graph transform (LGT) and a discrete sine transform (DST);
• and
• encoding the video data based on the identified one or more transform cores,
• wherein the transform cores correspond to one or more from among an 8-bit transform core and a 10-bit transform core,
• wherein the one or more transform cores correspond to one or more from among a 2-point transform, a 4-point transform, an 8-point transform, a 16-point transform, a 32-point transform, and a 64-point transform,
• wherein the 16-point transform corresponding to the 8-bit transform core is a line graph transform comprising the matrix:
• {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p,
• c, f, i, l, o, o, l, i, f, c, 0, −c, −f, −i, −l, −o,
• e, j, o, m, h, c, −b, −g, −l, −p, −k, −f, −a, d, i, n,
• g, n, l, e, −b, −i, −p, −j, −c, d, k, o, h, a, −f, −m,
• i, o, f, −c, −l, −l, −c, f, o, i, 0, −i, −o, −f, c, l,
• k, k, 0, −k, −k, 0, k, k, 0, −k, −k, 0, k, k, 0, −k,
• m, g, −f, −n, −a, l, h, −e, −o, −b, k, i, −d, −p, −c, j,
• o, c, −l, −f, i, i, −f, −l, c, o, 0, −0, −c, l, f, −i,
• p, −a, −o, b, n, −c, −m, d, l, −e, −k, f, j, −g, −i, h,
• n, −e, −i, j, d, −o, a, m, −f, −h, k, c, −p, b, l, −g,
• l, −i, −c, o, −f, −f, o, −c, −i, l, 0, −l, i, c, −o, f,
• j, −m, c, g, −p, f, d, −n, i, a, −k, l, −b, −h, o, −e,
• h, −p, i, −a, −g, o, −j, b, f, −n, k, −c, −e, m, −l, d,
• wherein {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p} includes one or more from among:
• {12, 24, 36, 47, 57, 69, 78, 87, 94, 103, 109, 115, 118, 123, 125, 126},
• {11, 22, 36, 47, 56, 69, 78, 89, 94, 104, 109, 115, 116, 125, 125, 125}, and
• {12, 22, 34, 47, 58, 68, 79, 89, 95, 102, 109, 114, 117, 123, 126, 126}.

A method of processing visual media data, the method comprising:

• performing a conversion between a visual media file and a bitstream of a visual media data according to a format rule,
• identifying one or more transform cores associated with the bitstream, wherein the one or more transform cores comprise one or more of a line graph transform (LGT) and a discrete sine transform (DST);
• and
• wherein the transform cores correspond to one or more from among an 8-bit transform core and a 10-bit transform core,
• wherein the one or more transform cores correspond to one or more from among a 2-point transform, a 4-point transform, an 8-point transform, a 16-point transform, a 32-point transform, and a 64-point transform,
• wherein the 16-point transform corresponding to the 8-bit transform core is a line graph transform comprising the matrix:
• {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p,
• c, f, i, l, o, o, l, i, f, c, 0, −c, −f, −i, −l, −o,
• e, j, o, m, h, c, −b, −g, −l, −p, −k, −f, −a, d, i, n,
• g, n, l, e, −b, −i, −p, −j, −c, d, k, o, h, a, −f, −m,
• i, o, f, −c, −l, −l, −c, f, o, i, 0, −i, −o, −f, c, l,
• k, k, 0, −k, −k, 0, k, k, 0, −k, −k, 0, k, k, 0, −k,
• m, g, −f, −n, −a, l, h, −e, −o, −b, k, i, −d, −p, −c, j,
• o, c, −l, −f, i, i, −f, −l, c, o, 0, −o, −c, l, f, −i,
• p, −a, −o, b, n, −c, −m, d, l, −e, −k, f, j, −g, −i, h,
• n, −e, −i, j, d, −o, a, m, −f, −h, k, c, −p, b, l, −g,
• l, −i, −c, o, −f, −f, o, −c, −i, l, 0, −l, i, c, −o, f,
• j, −m, c, g, −p, f, d, −n, i, a, −k, l, −b, −h, o, −e,
• h, −p, i, −a, −g, o, −j, b, f, −n, k, −c, −e, m, −l, d,
• f, −l, o, −i, c, c, −i, o, −l, f, 0, −f, l, −o, i, −c,
• d, −h, l, −p, m, −i, e, −a, −c, g, −k, o, −n, j, −f, b,
• b, −d, f, −h, j, −l, n, −p, o, −m, k, −i, g, −e, c, −a,}
• wherein {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p} includes one or more from among:
• {12, 24, 36, 47, 57, 69, 78, 87, 94, 103, 109, 115, 118, 123, 125, 126},
• {11, 22, 36, 47, 56, 69, 78, 89, 94, 104, 109, 115, 116, 125, 125, 125}, and
• {12, 22, 34, 47, 58, 68, 79, 89, 95, 102, 109, 114, 117, 123, 126, 126}.